Question

Enter the values for a and b that complete
the sum:

A-
b-

Answer 1

`a=3` and
`b=5`

Explanation:

We have been given an equation
`(3)/(x)+(5)/(x^2)=(ax+b)/(x^2)`. We are asked to find the value of 'a' and 'b'.

Let us make a common denominator:

`(3*x)/(x*x)+(5)/(x^2)=(ax+b)/(x^2)`

`(3x)/(x^2)+(5)/(x^2)=(ax+b)/(x^2)`

Add numerators:

`(3x+5)/(x^2)=(ax+b)/(x^2)`

Therefore,
`a=3` and
`b=5` for the given equation.

Answer 2

3/x + 5/x^2 = 3x+5/x^2
a = 3
b = 5