7x-4 per (x-4)(x+3)=A per x-4 + B per x+3 tentukan nilai A dan B

PecaHan PaRciaL

(7x - 4) / (x - 4)(x + 3) = A/(x - 4) + B(x + 3)
A(x + 3) + B(x - 4) = 7x - 4
Ax + 3A + Bx - 4B = 7x - 4
(A + B)x + (3A - 4B) = 7x - 4

Lihat kesamaan tempat
A + B = 7
A = 7 - B ... (1)

3A - 4B = -4
3(7 - B) - 4B = -4
21 - 3B - 4B = -4
21 - 7B = -4
7B = 21 + 4
B = 25/7

A + B = 7
A = 7 - B
A = (49 - 25)/7
A = 24/7