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Find the value of k if frac 5 2r r 1 r - 2 expr... - JAMB Mathematics 1997 Question

Find the value of k if (\frac{5 + 2r}{(r + 1)(r - 2)}) expressed in partial fraction is (\frac{k}{r - 2}) + (\frac{L}{r + 1}) where K and L are constants

A
3
B
2
C
1
D
-1
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Correct Option: A

5 + 2r = k(r + 1) + L(r - 2)

but r - 2 = 0 and r = 2

9 = 3k

k = 3

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