1/400=10000/x^2
You asked:
Solve the equation \(\frac{1}{400} = \frac{10000}{{x}^{2}}\) for the variable \(x\).
MathBot Answer:
The solutions are given by the formula: \[x = 2000 \left(-1\right)^{k}\] 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: \[\begin{aligned}x &= 2000\\x &= -2000\end{aligned}\]
The are no solutions with nonzero imaginary part.