SOLUTION: (z+8)^2=13 use the square root property to solve. simplify your answer

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Question 354716: (z+8)^2=13
use the square root property to solve. simplify your answer
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%28z%2B8%29%5E2=13
Using square roots to solve, we start by finding the square root of each side:
sqrt%28%28z%2B8%29%5E2%29=sqrt%2813%29
which simplifies to
abs%28z%2B8%29=sqrt%2813%29
Solving this absolute value equation we start by rewriting it as two equations without absolute equations which are equivalent:
z+%2B+8+=+sqrt%2813%29 or z+%2B+8+=+-sqrt%2813%29
Subtracting 8 from each side we get:
z+=+-8+%2B+sqrt%2813%29 or z+=+-8+-+sqrt%2813%29
In short form:
z+=+-8+%2B-+sqrt%2813%29