SOLUTION: x+3/x-2 - 1-x/x =17/x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: x+3/x-2 - 1-x/x =17/x      Log On


   

Question 731727: x+3/x-2 - 1-x/x =17/x
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%2B3%29%2F%28x-2%29%29+-+%281-x%29%2Fx+=17%2Fx

Multiply the equation by x(x-2)

x%28x%2B3%29-%281-x%29%28x-2%29=17%28x-2%29


x%5E2%2B3x-%28x-2-x%5E2%2B2x%29=17x-34

x%5E2%2B3x-x%2B2%2Bx%5E2-2x=17x-34

2x%5E2-17x%2B36=0

2x%5E2%2B8x-9x%2B36=0

2x%28x%2B4%29-9%28x%2B4%29=0

%28x%2B4%29%282x-9%29=0

x=-4 OR x=9/2