Respuesta :

ANSWER

a=3, b=5

EXPLANATION

The given equation is

[tex] \frac{3}{x} + \frac{5}{ {x}^{2} } = \frac{ax + b}{ {x}^{2} } [/tex]

We simplify the left hand side.

We collect LCD to obtain:

[tex] \frac{3x + 5}{ {x}^{2} } = \frac{ax + b}{ {x}^{2} } [/tex]

Both sides of the equation are now the same.

By comparing the coefficients of x, we have

[tex]a = 3[/tex]

By comparing the constant terms

[tex]b = 5[/tex]

Answer:

For the first part

A=3

B=5

For the second part

M=3

N=14

P=2

Step-by-step explanation:

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