SOLUTION: 1/(x^2-x-12)=(A/(x-4))+(B/(x+3)) Find A,B for this equation to make sense (2/((x-5)(x+3))=(A/(x-5))+(B/(x+3)) Find A,B for this equation to make sense

Algebra ->  Graphs -> SOLUTION: 1/(x^2-x-12)=(A/(x-4))+(B/(x+3)) Find A,B for this equation to make sense (2/((x-5)(x+3))=(A/(x-5))+(B/(x+3)) Find A,B for this equation to make sense      Log On


   



Question 1079828: 1/(x^2-x-12)=(A/(x-4))+(B/(x+3))
Find A,B for this equation to make sense
(2/((x-5)(x+3))=(A/(x-5))+(B/(x+3))
Find A,B for this equation to make sense

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Common denominator is x^2-x-12
A(x+3)+B(x-4)=1
Ax+3A+Bx-4B=1
Let x=-3
-3A+3A-3B-4B=1
B=-1/7
Let x=4
7A=1. A=1/7
----------------------------
A(x+3)+B(x-5)=2
Ax+3A+Bx-5B=2
Let x=-3
-8B-2; B=-1/4
Let x=5
8A=2
A=1/4