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.Com
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)   (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

RELATED QUESTIONS

Find all solutions to the equation |2x-1| -2=7 A) x=-5 or x=4 B) x=5 or x=-5 C) x=3 or (answered by eversteen)
1 Find the values of x in this equation: x - 15 ___ = 2 . x A. -7, 3 (answered by ikleyn,josgarithmetic)
Find the solutions to the equation: x2 + 2x – 8 = 0. a. x = –4, 2 b. x = –3, 5 c. x... (answered by jim_thompson5910,MathLover1)
Find the exact solution to the equation 3^x+5=9^x. My choices for answers are: a. 5/3 (answered by Nate)
Solve each equation for x A. 27^X=3^X+1 B. e^3x-1=12 C.log(x+3)-log x=log 2 D.log5 X+ (answered by jim_thompson5910)
Please help me solve this equation {{{f(x)=(x^2-x-12)/(x-2)}}} Find: (x+3)(x-4)/x-2... (answered by longjonsilver)
equation from worksheet a(x+c)=b(x-c) solve for x... (answered by ankor@dixie-net.com)
Hi, i tried solving my assignments, please help me check if i did it right..Thanks in... (answered by Alan3354)
Solve the matrix equation AX=B for X using A= 2 -3 B=4 1 5 (answered by richwmiller)