Question 354716
{{{(z+8)^2=13}}}
Using square roots to solve, we start by finding the square root of each side:
{{{sqrt((z+8)^2)=sqrt(13)}}}
which simplifies to
{{{abs(z+8)=sqrt(13)}}}
Solving this absolute value equation we start by rewriting it as two equations without absolute equations which are equivalent:
{{{z + 8 = sqrt(13)}}} or {{{z + 8 = -sqrt(13)}}}
Subtracting 8 from each side we get:
{{{z = -8 + sqrt(13)}}} or {{{z = -8 - sqrt(13)}}}
In short form:
{{{z = -8 +- sqrt(13)}}}