SOLUTION: Hello! I am having problems with with the problem and need some help. solve: Square root x-1 =x-3 Thank you for the help

Algebra ->  Radicals -> SOLUTION: Hello! I am having problems with with the problem and need some help. solve: Square root x-1 =x-3 Thank you for the help       Log On


   

Question 91451: Hello! I am having problems with with the problem and need some help.
solve: Square root x-1 =x-3

Thank you for the help
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
sqrt%28x-1%29+=+x-3
Try this:
Square both sides.
x-1+=+%28x-3%29%5E2 Perform the indicated multiplication.
x-1+=+x%5E2-6x%2B9 Subtract x from both sides.
-1+=+x%5E2-7x%2B9 Add 1 to both sides.
x%5E2-7x%2B10+=+0 Factor this quadratic equation.
%28x-5%29%28x-2%29+=+0 Apply the zero products principle.
x-5+=+0 or x-2+=+0
Solutions:
x = 5 or x = 2