(-60) + 28 / (x^1) + 28/ (x^2) + 28/ (x^3) + 28/ (x^4) = 0.00001

asked by guest
on Jan 07, 2025 at 3:01 am



You asked:

Solve the equation −60+28x1+28x2+28x3+28x4=0.00001-60 + \frac{28}{{x}^{1}} + \frac{28}{{x}^{2}} + \frac{28}{{x}^{3}} + \frac{28}{{x}^{4}} = 0.00001 for the variable xx.

MathBot Answer:

The complex solutions are: {100000857143+−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+8000000027417497434877861835566764131778472886332+∣−2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+16114288000002204082367347+22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+740898177959200000629737924198303207−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633∣2,−−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+8000000027417497434877861835566764131778472886332+100000857143−i∣−740898177959200000629737924198303207−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633−2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+16114288000002204082367347+22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633∣2,−−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+8000000027417497434877861835566764131778472886332+100000857143+i∣−740898177959200000629737924198303207−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633−2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+16114288000002204082367347+22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633∣2,−∣−2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+16114288000002204082367347+22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+740898177959200000629737924198303207−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633∣2+100000857143+−22171432000006612247102041−46571435000000000017002923953354186589+800000002741749743487786183556676413177847288633+8057144000002204082367347+2−46571435000000000017002923953354186589+8000000027417497434877861835566764131778472886332}∖{0}\left\{\frac{100000}{857143} + \frac{\sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}{2} + \frac{\sqrt{\left|{- 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}} + \frac{1611428800000}{2204082367347} + \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{740898177959200000}{629737924198303207 \sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}}\right|}}{2}, - \frac{\sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}{2} + \frac{100000}{857143} - \frac{i \sqrt{\left|{- \frac{740898177959200000}{629737924198303207 \sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}} - 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}} + \frac{1611428800000}{2204082367347} + \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}\right|}}{2}, - \frac{\sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}{2} + \frac{100000}{857143} + \frac{i \sqrt{\left|{- \frac{740898177959200000}{629737924198303207 \sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}} - 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}} + \frac{1611428800000}{2204082367347} + \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}\right|}}{2}, - \frac{\sqrt{\left|{- 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}} + \frac{1611428800000}{2204082367347} + \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{740898177959200000}{629737924198303207 \sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}}\right|}}{2} + \frac{100000}{857143} + \frac{\sqrt{- \frac{2217143200000}{6612247102041 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}} + \frac{805714400000}{2204082367347} + 2 \sqrt[3]{- \frac{465714350000000000}{17002923953354186589} + \frac{80000000 \sqrt{27417497434877861835}}{5667641317784728863}}}}{2}\right\} \setminus \left\{0\right\}

ii is the imaginary unit, defined as i2=−1i^2 = -1.

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