7x-4/(x-4)(x+3)=A/x-4 + B/x+3 tentukan nilai A dan B
Matematika
gaviero
Pertanyaan
7x-4/(x-4)(x+3)=A/x-4 + B/x+3 tentukan nilai A dan B
1 Jawaban
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1. Jawaban Anonyme
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
Kalikan 3
3A + 3B = 21
dan
3A - 4B = -4
3A + 3B = 21
3A - 4B = -4
------------------- (-)
7B = 25
B = 25/7
A + B = 7
A = 7 - B
A = (49 - 25)/7
A = 24/7