Question 296805
{{{w^2=-2}}} Start with the given equation.



{{{w=""+-sqrt(-2)}}} Take the square root of both sides.



{{{w=sqrt(-2)}}} or {{{w=-sqrt(-2)}}} Break up the "plus/minus" to form two equations.



{{{w=i*sqrt(2)}}} or {{{w=-i*sqrt(2)}}} Simplify the square root.



So the solutions are {{{w=i*sqrt(2)}}} or {{{w=-i*sqrt(2)}}}