Respuesta :

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

Answer:

[tex]a=3[/tex] and [tex]b=5[/tex]

Step-by-step explanation:

We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.

Let us make a common denominator:

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

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

Add numerators:

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

Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.