SOLUTION: solve x- sqrt2x+1 =7

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Question 210091: solve x- sqrt2x+1 =7
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x-sqrt%282x%2B1%29+=+7 First, subtract x from both sides.
-sqrt%282x%2B1%29+=+-x%2B7 Square both sides.
2x%2B1+=+x%5E2-14x%2B49 Subtract 2x from both sides.
1+=+x%5E2-16x%2B49 Subtract 1 from both sides.
x%5E2-16x%2B48+=+0 Factor.
%28x-12%29%28x-4%29+=+0 Apply the zero product rule.
x-12+=+0 or x-4+=+0 so...
highlight%28x+=+12%29 or highlight%28x+=+4%29