SOLUTION: Extract SquareRoots (3x-8)^2=16 6x^2=150

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Question 18836: Extract SquareRoots
(3x-8)^2=16



6x^2=150
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) %283x-8%29%5E2+=+16 Take (extract) the square root of both sides.
sqrt%28%283x-8%29%5E2%29+=+sqrt%2816%29
%283x-8%29+=+4 Add 8 to both sides. Note: When you take the square root, you really get two answers...one is + and the other is -, so:
3x-8+=+4 or 3x-8+=+-4
3x+=+12 Divide both sides by 3.
x+=+4
3x-8+=+-4 Add 8 to both sides.
3x+=+4 Divide both sides by 3.
x+=+4%2F3
2)
6x%5E2+=+150 First, divide both sides by 6.
x%5E2+=+25 Now take the square root of both sides.
sqrt%28x%5E2%29+=+sqrt%2825%29
x+=+5 or x+=+-5