SOLUTION: solve and check: SQRT of x-1 =x-3

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Question 88560: solve and check:
SQRT of x-1 =x-3
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x+-+1%29+=+%28x+-+3%29
x+-+1+=+%28x+-+3%29%5E2
x+-+1+=+x%5E2+-+6x+%2B+9
0+=+x%5E2+-+7x+%2B+10
0+=+%28x+-+2%29%28x+-+5%29
x = 2 and x = 5
Check:
a. sqrt%28x+-+1%29+=+%28x+-+3%29
sqrt%282+-+1%29+=+%282+-+3%29
sqrt%281%29+=+-1
Wrong
b. sqrt%28x+-+1%29+=+%28x+-+3%29
sqrt%285+-+1%29+=+%285+-+3%29
sqrt%284%29+=+2
Correct
~ Answer: x = 5
graph%28300%2C300%2C-6%2C6%2C-6%2C6%2Csqrt%28x+-+1%29%2C%28x+-+3%29%29