SOLUTION: Solve for x Square root [x-1] =x-7

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Question 48021: Solve for x Square root [x-1] =x-7
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
sqrt%28x-1%29+=+x-7 First, square both sides of the equation.
x-1+=+x%5E2-14x%2B49 Subtract x from both sides.
-1+=+x%5E2-15x%2B49 Now add 1 to both sides.
0+=+x%5E2-15x%2B50 Factor the right side.
0+=+%28x-5%29%28x-10%29 Apply the zero products principle.
x-5+=+0 and/orx-10+=+0
If x-5+=+0 then x+=+5
If x-10+=+0 the x+=+10
The roots are:
x = 5
x = 10