SOLUTION: Hi can you please show me how to solve for x for the following problem: 4/(6-x) + x^2/(6-x) = 2 I know you find the LCD (which i think is 6-x?) but then where do you go from ther

Algebra ->  Rational-functions -> SOLUTION: Hi can you please show me how to solve for x for the following problem: 4/(6-x) + x^2/(6-x) = 2 I know you find the LCD (which i think is 6-x?) but then where do you go from ther      Log On


   



Question 396194: Hi can you please show me how to solve for x for the following problem:
4/(6-x) + x^2/(6-x) = 2
I know you find the LCD (which i think is 6-x?) but then where do you go from there?
Thank you so much!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
4%2F%286-x%29+%2B+x%5E2%2F%286-x%29+=+2 |multiplying @ term by (6-x) so as all denominators=1
4 + x^2 = 2(6-x)
solving for x
4 + x^2 = 12 - 2x
x^2 + 2x - 8 = 0
factoring
(x+4)(x-2)= 0 Note:SUM of the inner product(4x) and the outer product(-2x) = 2x
(x+4)=0 x = -4
(x-2)= 0
x = 2