# Thread: Finding values for A and B

1. ## Finding values for A and B

Find (A,B) such that (3x-27)/(x^2+3x-10) = A/(x-2) + B/(x+5).

2. Originally Posted by Mr_Green
Find (A,B) such that (3x-27)/(x^2+3x-10) = A/(x-2) + B/(x+5).
you are looking for partial fractions here. there are several ways to do this. here's the easiest (i think):

multiply both sides by $(x - 2)(x + 5)$ to obtain

$3x - 27 = A(x + 5) + B(x - 2)$ ............(1)

now, plug in $x = -5$ in equation (1) and solve for B

then plug in $x = 2$ in equation (1) and solve for A