SOLUTION: Please help me figure out how to do this problem. Thanks sqrt(x+4) =3

Algebra ->  Square-cubic-other-roots -> SOLUTION: Please help me figure out how to do this problem. Thanks sqrt(x+4) =3      Log On


   

Question 90475: Please help me figure out how to do this problem. Thanks
sqrt(x+4) =3
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Problem:
.
sqrt%28x%2B4%29+=3
.
solve for x.
.
Begin by squaring both sides. When you do that the equation becomes:
.
%28sqrt%28x%2B4%29%29%5E2+=+3%5E2
.
which after squaring becomes:
.
x+%2B+4+=+9
.
solve for x by subtracting 4 from both sides to get:
.
x+=+9+-+4+=+5
.
The solution, therefore, is x+=+5
.
Check by substituting 12 for x in the original equation:
.
%28sqrt%285+%2B+4%29%29+=+3
.
Add the terms in the parentheses:
.
sqrt%289%29+=+3
.
The square root of 9 results in +3, so the equation is true and the answer x = 5 works.
.