The given equation is :
[tex] x^{2} =0.25 [/tex]
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,
[tex] \sqrt{x^2} =\pm\sqrt{0.25} [/tex]
[tex] x=\pm0.5 [/tex]
Therefore, x = -0.5 and 0.5.