Question

decompose into partial fraction
5x+10/x(x+5)​

Answer 1

Step-by-step explanation:

given 5x+10/x(x+5) can be written as A/x+B/x+5

5x+10/x(x+5)=A/x+B/x+5

5x+10/x(x+5)=A(x+5)+Bx/x(x+5)

equating the coefficients and constant in both sides

5=A+B (x-coefficient)

10=5A

A=2;B=3

so partial fraction=2/x+3x/x+5