Verified Answer :

The given equation is :

\(x^{2} =0.25\)

To solve this equation for x we need to isolate x.

Hence, we need to remove square from x. We will always use the opposite operation of a number/ variable to get rid of that number/ variable.

Opposite operation of square is square root.

Hence, first step is to take square root on each sides of the equation. Therefore,

\(\sqrt{x^2} =\pm\sqrt{0.25}\)

\(x=\pm0.5\)

Therefore, x = -0.5 and 0.5.