Question 318037
{{{x^2=-36}}} Start with the given equation.



{{{x=""+-sqrt(-36)}}} Take the square root of both sides.



{{{x=sqrt(-36)}}} or {{{x-0=-sqrt(-36)}}} Break up the "plus/minus" to form two equations.



{{{x=6*i}}} or {{{x=-6*i}}}  Take the square root of {{{-36}}} to get {{{6*i}}}. Note: {{{i=sqrt(-1)}}}



So the solutions are {{{x=6*i}}} or {{{x=-6*i}}}