SOLUTION: solve for x. and show work. 4/(6-x) + (x^2)/(6-x)=2

Algebra ->  Rational-functions -> SOLUTION: solve for x. and show work. 4/(6-x) + (x^2)/(6-x)=2      Log On


   

Question 940974: solve for x. and show work.

4/(6-x) + (x^2)/(6-x)=2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%286-x%29+%2B+%28x%5E2%29%2F%286-x%29=2
%281%2F%286-x%29%29%284%2Bx%5E2%29=2
4%2Bx%5E2=2%286-x%29
4%2Bx%5E2=12-2x
x%5E2%2B2x-8=0
%28x%2B4%29%28x-2%29=0
Two solutions:
x%2B4=0
x=-4
and
x-2=0
x=2