How can I solve this partial fraction 7x−104x2−12x+9?
1 Answer
Aug 1, 2018
Explanation:
Given:
7x−104x2−12x+9
First note that:
4x2−12x+9=(2x−3)2
is a perfect square trinomial.
So we are looking for a partial fraction expansion of the form:
7x−104x2−12x+9=A2x−3+B(2x−3)2
Mutiplying both sides by
7x−10=A(2x−3)+B
Looking at the coefficient of
A=72
Putting
B=7(32)−10=12
So:
7x−104x2−12x+9=72(2x−3)+12(2x−3)2