SOLUTION: square root of x - 1 = x - 7

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Question 139999This question is from textbook algebra I
: square root of x - 1 = x - 7 This question is from textbook algebra I

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x (?):
sqrt%28x-1%29+=+x-7 Square both sides.
%28sqrt%28x-1%29%29%5E2+=+%28x-7%29%5E2 Simplify.
x-1+=+%28x-7%29%28x-7%29 Use the FOIL method to multiply the right side.
x-1+=+x%5E2-7x-7x%2B49 Combine the x-terms.
x-1+=+x%5E2-14x%2B49 Add 1 to both side.
x+=+x%5E2-14x%2B50 Subtract x from both sides.
x%5E2-15x%2B50+=+0 Factor the trinomial.
%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