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Matematika
annisa10969
Pertanyaan
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1 Jawaban
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1. Jawaban dharmawan14
5) (x + 5)(Ax + B) = 2x^2 +7x - 15
Ax^2 + Bx + 5Ax + 5B = 2x^2 + 7x -15
Ax^2 + (5A + B)x + 5B = 2x^2 + 7x - 15
A = 2
5A + B = 7
5.2 + B = 7
10 + B = 7
B = -3
A - B = 2 - -3 = 2 + 3 = 5
6) m / (x - 1) + n / (x + 1) = (4-2x) / (1 -x^2)
{ m(x+1) +n(x-1) } (x^2-1) = (4-2x) / -(x^2-1)
(mx + m + nx -n)/ (x^2-1) = -(4-2x) / (x^2-1
(m+n)x+ (m-n) = -4 +2x
m + n = 2...(1)
m - n = -4..(2)
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2n = 6
n = 3
m + n = 2
m + 3 = 2
m = -1....(B)