-200000000/x^2+800000000/(6000-2x^2)=5
You asked:
Solve the equation \(\frac{-200000000}{{x}^{2}} + \frac{800000000}{6000 - 2 \cdot {x}^{2}} = 5\) for the variable \(x\).
MathBot Answer:
The 4 solutions to the equation are: \[\begin{aligned}x &= - 50 \sqrt{- \frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} \approx -31.62304\\x &= 50 \sqrt{- \frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} \approx 31.62304\\x &= - 50 \sqrt{\frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} i \approx -10954.36 i\\x &= 50 \sqrt{\frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} i \approx 10954.36 i\end{aligned}\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).