Question 43189
{{{x^2 = -100}}}
{{{x = sqrt(-100)}}} or {{{x = -sqrt(-100)}}}
{{{x = 10i}}} or {{{x = -10i}}} No number multiplied by itself will give you a negative number, so the solutions are complex. Same with the next problem.
{{{5x^2 = -125}}}
{{{x^2 = -25}}}
{{{x = sqrt(-25)}}} and {{{x = -sqrt(-25)}}}
{{{x = 5i}}} and {{{x = -5i}}}
Hint: {{{i = sqrt(-1)}}}