Power[\(40)1549.7269\(41),2]+Power[\(40)Divide[\(40)1549.7269*\(40)16+Power[x,2]\(41)\(41),\(40)Power[x,2]-16\(41)]\(41),2]+(Divide[\(40)1549.7269*\(40)16+Power[x,2]\(41)\(41),\(40)Power[x,2]-16\(41)])*(1549.7269)-Power[2500,2]=0

asked by guest
on Nov 18, 2024 at 8:17 am



You asked:

Solve the equation \({1549.7269}^{2} + {\left( \frac{1549.7269 \cdot \left(16 + {x}^{2}\right)}{{x}^{2} - 16} \right)}^{2} + \frac{1549.7269 \cdot \left(16 + {x}^{2}\right)}{{x}^{2} - 16} \cdot 1549.7269 - {2500}^{2} = 0\) for the variable \(x\).

MathBot Answer:

The 4 solutions to the equation are: \[\begin{aligned}x &= - 4 \sqrt{- \frac{625000000000000}{95496039375083} + \frac{\sqrt{427375185227508782422279581037}}{95496039375083}} \approx -2.1943508\\x &= 4 \sqrt{- \frac{625000000000000}{95496039375083} + \frac{\sqrt{427375185227508782422279581037}}{95496039375083}} \approx 2.1943508\\x &= 4 i \sqrt{- \frac{\sqrt{427375185227508782422279581037}}{95496039375083} - \frac{625000000000000}{95496039375083}} i \approx -14.637211 i\\x &= - 4 i \sqrt{- \frac{\sqrt{427375185227508782422279581037}}{95496039375083} - \frac{625000000000000}{95496039375083}} i \approx 14.637211 i\end{aligned}\]

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