Question 944912
Try completing the square to help solve the equation.  What do you find inside the square root function part of the solution?


As reference, {{{i^2=-1}}}, and from this {{{i=-sqrt(-1)}}} or {{{i=sqrt(-1)}}}.


{{{x^2-4x+8=0}}}
{{{x^2-4x+4+8=4}}}, the 4 completes the square.
{{{(x-2)^2+8=4}}}
{{{(x-2)^2=4-8=-4}}}
{{{x-2=0+- sqrt(-4)}}}
{{{x=2+- sqrt(-4)}}}
{{{highlight(x=2+- 2sqrt(-1))}}}



Also for reference, study this:
<a href="http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev">http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev</a>