SOLUTION: 1. (a) resolve into partial fractions 2x/[(x-2)(x+5)] (b) resolve into partial fractions 1/(x^2-x)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: 1. (a) resolve into partial fractions 2x/[(x-2)(x+5)] (b) resolve into partial fractions 1/(x^2-x)      Log On


   

Question 1146014: 1. (a) resolve into partial fractions 2x/[(x-2)(x+5)]
(b) resolve into partial fractions 1/(x^2-x)
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
(a)

%282x%29%2F%28%28x-2%29%28x%2B5%29%29=A%2F%28x-2%29%2BB%2F%28x%2B5%29



2x=A%28x%2B5%29%2BB%28x-2%29

2x=Ax%2B5A%2BBx-2B

2x=%28A%2BB%29x%2B%285A-2B%29

Follow the corresponding parts...
system%282=A%2BB%2C5A-2B=0%29-------solve this system for A and B.

system%28A=2%2F3%2CB=4%2F3%29
(you can finish.)