35840.42/x^2=260-297720/x^2
You asked:
Solve the equation \(\frac{35840.42}{{x}^{2}} = 260 - \frac{297720}{{x}^{2}}\) for the variable \(x\).
MathBot Answer:
The solutions are given by the formula: \[x = \frac{\left(-1\right)^{k} \sqrt{2168142730}}{1300}\] where \(k\) is an integer in \(0 \le k < 2\).
There are \(2\) real solutions.
There are \(0\) solutions with nonzero imaginary part.
Real solutions: \[\begin{aligned}x &= \frac{\sqrt{2168142730}}{1300} \\&\approx 35.817938\\x &= - \frac{\sqrt{2168142730}}{1300} \\&\approx -35.817938\end{aligned}\]
The are no solutions with nonzero imaginary part.