Engineering Board Exam Reviewer · Partial Fractions and Rational Expressions · medium

Find the constant A if 7x-1/(x-1)(x-2)=A/x-1+B/x-2.

1. 6
2. 13
3. -13
4. -6

Answer

D. -6

Solution

Multiply by (x-1) and set x=1: A=7(1)-1/1-2=6/-1=-6 (and B=13/1=13).

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