What is the partial fraction decomposition in terms of x?

Question

asked May 12, 2021 76.1k views

2 Answers

Marco Stramezzi · Answer 1 · 2021-05-18T09:08:46+0000

In the middle equation on the left side, if you let x = 3/2, then the term containing A vanishes and you can solve for B :

12*(3/2) - 25 = A (2*(3/2) - 3) + B

18 - 25 = A * (3 - 3) + B

B = -7

which makes the last option the correct answer.