SOLUTION: solve for x:{{{sqrt(x+7)=x-5}}}

Algebra ->  Radicals -> SOLUTION: solve for x:{{{sqrt(x+7)=x-5}}}      Log On


   

Question 379022: solve for x:sqrt%28x%2B7%29=x-5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B7%29=x-5
x%2B7=%28x-5%29%5E2
x%2B7=x%5E2-10x%2B25
x%5E2-11x%2B18=0
%28x-2%29%28x-9%29=0
Two solutions:
x-2=0
highlight%28x=2%29
.
.
.
x-9=0
highlight%28x=9%29
.
.
When verifying the solutions, remember that sqrt%28a%5E2%29=a and sqrt%28a%5E2%29=-a.