What is the partial-fraction decomposition of #(5x+7)/(x^2+4x-5)#?
Part solution to start you on the way once you have seen the method. I take you up to
This may be factorised into
Consequently we can write:
As the denominators on both sides of the equals are of the same value then so are the numerators. Consequently just considering the numerators we have:
Find the value of B from (3) and substitute into (2). Then with a bit of algebraic manipulation you have:
Substituting this back into (1) gives:
I will let you work out the value of B to sub into