Question

Enter the values for a and b that complete

the sum:

3/x + 5/x^{2} =ax+b/x^{2}

Answer 1

For the first part

A=3

B=5

For the second part

M=3

N=14

P=2

Explanation:

Right on edge 2020

Answer 2

a=3, b=5

EXPLANATION

The given equation is

`(3)/(x) + \frac{5}{ {x}^(2) } = \frac{ax + b}{ {x}^(2) }`

We simplify the left hand side.

We collect LCD to obtain:

`\frac{3x + 5}{ {x}^(2) } = \frac{ax + b}{ {x}^(2) }`

Both sides of the equation are now the same.

By comparing the coefficients of x, we have

`a = 3`

By comparing the constant terms

`b = 5`