SOLUTION: Please help me with this problem. Thank you. Solve: sqrt(x-5) = x-7

Algebra ->  Radicals -> SOLUTION: Please help me with this problem. Thank you. Solve: sqrt(x-5) = x-7      Log On


   

Question 322184: Please help me with this problem. Thank you.
Solve: sqrt(x-5) = x-7
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x-5%29+=+x-7 : x>7 (need positive),
square : x-5=x%5E2-14x%2B49 => x%5E2-15x%2B54=0
=>x=%2815+%2B-+sqrt%2815%5E2-216%29%29%2F2=%2815+%2B-+3%29%2F2=9 or 6
hence x=9 (to be >7)