Use partial fraction decomposition to solve for constants A and B:

Question

(2x+1)/(x^2) -x-42=A/(x+6)+B/(x-7)

A=

B=

Answer 1

(2x+1)/((x^2) -x-42)=A/(x+6)+B/(x-7), or after multiplaying by (x + 6)(x - 7) we get 2x+1 = A(x - 7) + B(x + 6);

if x = - 6 then - 11 = - 13A, A = 11/13

If x = 7 then 15 = 13B, B = - 15/13