5.32(1.6-x)(-x)=(o.6+2x)^2

asked by guest
on Nov 15, 2024 at 11:35 am



You asked:

Investigate the equation: \(5.32 \cdot \left(1.6 - x\right) \cdot -x = {\left( o \cdot .6 + 2 x \right)}^{2}\).

MathBot Answer:

The graph of the equation \(5.32 \cdot \left(1.6 - x\right) \cdot -x = {\left( o \cdot .6 + 2 x \right)}^{2}\) is a hyperbola.

The coordinates of its foci are: \(\left(\frac{266 \sqrt{149}}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} - \frac{\sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{1862}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} - \frac{266 \sqrt{149}}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} - \frac{1862}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}}, \frac{532}{- \frac{363 \sqrt{149}}{10} - \frac{1341}{10}} + \frac{7 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{1862 \sqrt{149}}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}} + \frac{26334}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}} + \frac{\sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}\right)\) and \(\left(\frac{266 \sqrt{149}}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} + \frac{1862}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} - \frac{266 \sqrt{149}}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} - \frac{1862}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} + \frac{\sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}, - \frac{\sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{532}{- \frac{363 \sqrt{149}}{10} - \frac{1341}{10}} - \frac{7 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} - \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{1862 \sqrt{149}}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}} + \frac{26334}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}}\right)\).

The coordinates of its vertices are: \(\left(\frac{266 \sqrt{149}}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} + \frac{1862}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} - \frac{\sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} - \frac{266 \sqrt{149}}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} - \frac{1862}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}}, \frac{532}{- \frac{363 \sqrt{149}}{10} - \frac{1341}{10}} + \frac{7 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{\sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{1862 \sqrt{149}}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}} + \frac{26334}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}}\right)\) and \(\left(\frac{266 \sqrt{149}}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} + \frac{1862}{- \frac{363 \sqrt{149}}{2} - \frac{1341}{2}} - \frac{266 \sqrt{149}}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} - \frac{1862}{\frac{4917}{2} + \frac{531 \sqrt{149}}{2}} + \frac{\sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}, \frac{532}{- \frac{363 \sqrt{149}}{10} - \frac{1341}{10}} - \frac{\sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} - \frac{7 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{10 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{1862 \sqrt{149}}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}} + \frac{26334}{\frac{24585}{2} + \frac{2655 \sqrt{149}}{2}}\right)\).

The asymptotes have equations: \(o \left(- \frac{50 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{35 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{5 \sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}\right) + x \left(\frac{35 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{50 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{5 \sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}\right) - \frac{1316700 \sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\frac{122925 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} + \frac{13275 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} - \frac{13871900 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\frac{122925 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} + \frac{13275 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} - \frac{93100 \sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{- \frac{1815 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} - \frac{6705 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} - \frac{1981700 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{- \frac{1815 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} - \frac{6705 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} = 0\) and \(o \left(- \frac{50 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} - \frac{5 \sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} - \frac{35 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}\right) + x \left(- \frac{50 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{35 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}} + \frac{5 \sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}\right) - \frac{1316700 \sqrt{149} \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\frac{122925 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} + \frac{13275 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} + \frac{1981700 \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{- \frac{1815 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} - \frac{6705 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} - \frac{13871900 \sqrt{\frac{168116256 \sqrt{149}}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{1771164192}{- \frac{1135664739 \sqrt{149}}{25} - \frac{10174673898}{25}} + \frac{288259944 \sqrt{149}}{- 1135664739 \sqrt{149} - 10174673898} - \frac{3352560792}{- 1135664739 \sqrt{149} - 10174673898} - \frac{4311582946104}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{353225414472 \sqrt{149}}{- 96966067275 \sqrt{149} - 1159981159050} - \frac{175345255008}{- 3878642691 \sqrt{149} - 46399246362} - \frac{14520829344 \sqrt{149}}{- 3878642691 \sqrt{149} - 46399246362}}}{\frac{122925 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} + \frac{13275 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} + \frac{93100 \sqrt{149} \sqrt{- \frac{168116256 \sqrt{149}}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{1771164192}{\frac{22801004226}{25} + \frac{2020917843 \sqrt{149}}{25}} - \frac{288259944 \sqrt{149}}{22801004226 + 2020917843 \sqrt{149}} + \frac{3352560792}{22801004226 + 2020917843 \sqrt{149}} + \frac{4311582946104}{2308123634850 + 190069551675 \sqrt{149}} + \frac{353225414472 \sqrt{149}}{2308123634850 + 190069551675 \sqrt{149}} + \frac{175345255008}{92324945394 + 7602782067 \sqrt{149}} + \frac{14520829344 \sqrt{149}}{92324945394 + 7602782067 \sqrt{149}}}}{- \frac{1815 \sqrt{149} \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2} - \frac{6705 \sqrt{\frac{7 \sqrt{149}}{50} + \frac{149}{50}}}{2}} = 0\).

+ Submit Question