# What is the partial-fraction decomposition of #(5x+7)/(x^2+4x-5)#?

##### 1 Answer

Part solution to start you on the way once you have seen the method. I take you up to

#### Explanation:

Consider

This may be factorised into

Consequently we can write:

So:

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:

The

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