SOLUTION: Solve the equation: (x/3)+(12/x)=x-2

Algebra ->  Rational-functions -> SOLUTION: Solve the equation: (x/3)+(12/x)=x-2      Log On


   

Question 1040857: Solve the equation:
(x/3)+(12/x)=x-2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply both sides by 3x.
x%5E2%2B36=3x%5E2-6x
2x%5E2-6x-36=0
x%5E2-3x-18=0
%28x-6%29%28x%2B3%29=0
So there are two solutions,
x-6=0
x=6
and
x%2B3=0
x=-3