Thread: partial fraction decomposition solve A,B and C

what is the value of A, B, and C of the partial fraction decomposition of this rational function.

(1x^2-1x+4)/((x+5)(x^2+9))= A/(x+5)+(Bx+C)/(x^2+9)

thanks

Originally Posted by waite3

what is the value of A, B, and C of the partial fraction decomposition of this rational function.

(1x^2-1x+4)/((x+5)(x^2+9))= A/(x+5)+(Bx+C)/(x^2+9)

thanks

You need to find and such that:




You do this by expanding the left hand side collecting the like powers of and then equating coefficients with those on the right hand side, so:





RonL