SOLUTION: sqrt x =12-x

Algebra ->  Equations -> SOLUTION: sqrt x =12-x      Log On


   



Question 32543: sqrt x =12-x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt x =12-x
square both sides to get:
x=144-24x+x^2
Simplify:
x^2-25x+144=0
Factor:
(x-9)(x-16)=0
x=9 or x=16
Check the answers:
sqrt(9)=12-9
3=3 OK
sqrt(16)=12-16
4 = -4 not acceptable.
The only solution is x=9
Cheers,
Stan H.