SOLUTION: We are supposed to solve for x. The problem is: 1/x(squared) - 7x + 10 = x/x-5 + 1/x - 2 (the / are fractions) I have already multiplied the denominators and simplified it an

Algebra ->  Rational-functions -> SOLUTION: We are supposed to solve for x. The problem is: 1/x(squared) - 7x + 10 = x/x-5 + 1/x - 2 (the / are fractions) I have already multiplied the denominators and simplified it an      Log On


   

Question 519045: We are supposed to solve for x.
The problem is: 1/x(squared) - 7x + 10 = x/x-5 + 1/x - 2
(the / are fractions)
I have already multiplied the denominators and simplified it and got 6=-3x(squiared), but I think that its wrong!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the two denominators on the right are factors of the denominator on the left

multiplying by x^2-7x+10 ___ 1 = x(x-2) + 1(x-5) ___ 0 = x^2 - x - 6

factoring ___ 0 = (x - 3)(x + 2)

x - 3 = 0 ___ x = 3

x + 2 = 0 ___ x = -2