Let $$\(\mathrm{f}(x)=\frac{5 a}{(2 x-a)(3 a-x)}\)$$, where $$\(a\)$$ is a positive constant. Express $$\(\mathrm{f}(x)\)$$ in partial fractions. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_m21_qp_32 Year:2021 Question No:6(a)
Answer:
Carry out a relevant method to determine constants \(A\) and \(B\) such that
\(\frac{5 a}{(2 x-a)(3 a-x)}=\frac{A}{2 x-a}+\frac{B}{3 a-x}\)
Obtain \(A=2\)
Obtain \(B=1\)
\(\frac{5 a}{(2 x-a)(3 a-x)}=\frac{A}{2 x-a}+\frac{B}{3 a-x}\)
Obtain \(A=2\)
Obtain \(B=1\)
Knowledge points:
3.1.4.1 (ax + b)(cx + d)(ex + f)
Solution:
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