SOLUTION: 4/6-x + x^2/6-x=2

Algebra ->  Rational-functions -> SOLUTION: 4/6-x + x^2/6-x=2      Log On


   

Question 697089: 4/6-x + x^2/6-x=2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4/(6-x) + x^2/(6-x)=2

(4 + x^2)/(6-x)=2

4 + x^2=2(6-x)

4 + x^2 = 12-2x

4 + x^2 + 2x - 12 = 0

x^2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x + 4 = 0 or x - 2 = 0

x = -4 or x = 2

Solutions: x = -4 or x = 2