Answer:
The numbers are and , and the sum of is 1.
Step-by-step explanation:
We already know that the partial fraction decomposition of the rational fraction has a particular form, that is
.
So, the method to find the coefficients and is:
First: We calculate the sum .
So,
.
Notice that
,
which means that necessarily
.
Second: We equalize the coefficients of the same powers of .
The last equality we have obtained means that
and .
From the above statement we deduce that .
Third: We obtain a linear system of equations, with the unknowns and .
The solutions to these system of equations are and