Question 94824
<pre><b>
I need help solving the following by using the Square Root Method.

{{{(x-3)^2}}} = {{{-5}}}

Take square roots of both sides, remembering ± on the right side:

{{{sqrt((x-3)^2)}}} = ±{{{sqrt(-5)}}}

{{{x-3}}} = ±{{{sqrt(5)i}}}

Add 3 to both sides to solve for x:

{{{x}}} = {{{3}}}±{{{sqrt(5)i}}}

The two solutions are {{{3+sqrt(5)i}}} and {{{3-sqrt(5)i}}}

Edwin</pre>