Home › AP EAPCET (Engineering) › Mathematics › Algebra: Partial Fractions › With x/((x-1)(x-2)) split as A/(x-1) + B/(x-2), …
With x/((x-1)(x-2)) split as A/(x-1) + B/(x-2), the sum A + B is
A-1
B0
C1
D2
Answer & Solution
Correct answer: C. 1
A = 1/(1-2) = -1 and B = 2/(2-1) = 2, so A + B = 1.
Related questions
How many constants split 1/((x-1)^2 (x+2))?Which pair of fractions adds up to (2x+1)/(x^2+x-2)?x/((x+1)(x+2)) breaks into which pair of fractions?Real-variable integral calculus uses partial fractions to find antiderivatives ofWhich fraction needs long division before it can be decomposed?The first derivative at x = a of (x-a)^2 p(x) equalsSplitting a fraction with coprime denominator factors relies on which identity?Equating coefficients to find the constants is a variant of the method of