Question

3x-4 / x^2-x-6 = (A/x-3) + (B/x+2)
tentukan A & B

HELP

Answer 1

Pecahan parsial,

Answer 2

(3x - 4) / (x + 2)(x - 3) = A/(x - 3) + B/(x + 2)
(3x - 4) / (x + 2)(x - 3) = ((A + B)x + (2A - 3B)) / (x + 2)(x - 3)

A + B = 3     | x 2|
2A - 3B = - 4 | x 1|
______________ -
5B = 10
B = 2
A = 1