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.
