SOLUTION: solve square root 4x^2-64=6 (the six is not square rooted)

Algebra ->  Square-cubic-other-roots -> SOLUTION: solve square root 4x^2-64=6 (the six is not square rooted)      Log On


   

Question 257206: solve
square root 4x^2-64=6
(the six is not square rooted)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284x%5E2-64%29=6
.
Squaring both sides we get:
4x%5E2-64=+36
.
4x%5E2-64-36+=+0
.
4x%5E2-100+=+0
.
Notice the left is a "difference of squares":
%282x%29%5E2-%2810%29%5E2+=+0
.
Which can be factored as:
%282x-10%29%282x%2B10%29+=+0
.
Setting each term (on the left) to zero we get:
x = {-5,5}