SOLUTION: I need help with this math problem. x-1 under the square root+x=7

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Question 385025: I need help with this math problem. x-1 under the square root+x=7
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x???
sqrt%28x-1%29%2Bx+=+7 Subtract x from both sides.
sqrt%28x-1%29+=+7-x Square both sides.
x-1+=+49-14x%2Bx%5E2 Add 1 to both sides.
x+=+50-14x%2Bx%5E2 Subtract x from both sides.
0+=+50-15x%2Bx%5E2 Rearrange into standard form.
x%5E2-15x%2B50+=+0 Factor.
%28x-10%29%28x-5%29+=+0 Apply the zero product rule.
x-10+=+0 or x-5+=+0 so...
x+=+10 or x+=+5