use square roots to solve the equation over the complex numbers. x² = (-1)² x = (type an exact answer, using…

use square roots to solve the equation over the complex numbers. x² = (-1)² x = (type an exact answer, using radicals and i as needed. use a comma to separate answers as needed.)

use square roots to solve the equation over the complex numbers. x² = (-1)² x = (type an exact answer, using radicals and i as needed. use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Simplify the right - hand side

First, calculate $(-1)^2$. We know that $(-1)^2=1$. So the equation becomes $x^{2}=1$.

Step2: Take square roots

Taking the square root of both sides, we have $x = \pm\sqrt{1}$. Since $\sqrt{1}=1$, then $x = 1,-1$.

Answer:

$1,-1$