SOLUTION: Determine the real solutions if any of the given equation: sqrt(2x-7)=5-x

Algebra ->  Radicals -> SOLUTION: Determine the real solutions if any of the given equation: sqrt(2x-7)=5-x       Log On


   

Question 837035: Determine the real solutions if any of the given equation:
sqrt(2x-7)=5-x
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x-7%29%5E2=%285-x%29%5E2
2x-7=25-10x%2Bx%5E2
x%5E2-12x%2B32=0
%28x-4%29%28x-8%29=0

but if x=8 then 5-8=-3 ... impossible, so...
solution:
x=4