1-7/(x^2)=0

asked by guest
on Oct 21, 2024 at 6:36 pm



You asked:

Solve the equation \(1 - \frac{7}{{x}^{2}} = 0\) for the variable \(x\).

MathBot Answer:

The solutions are given by the formula: \[x = \left(-1\right)^{k} \sqrt{7}\] 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: \[\begin{aligned}x &= \sqrt{7} \\&\approx 2.6457513\\x &= - \sqrt{7} \\&\approx -2.6457513\end{aligned}\]


The are no solutions with nonzero imaginary part.