Based on the calculations, the missing values are 3 and 4 respectively.
Given the following sum:
- [tex]\frac{3}{x} + \frac{5}{x^2} = \frac{ax+b}{x^2}[/tex]
To determine the values for a and b that completes the given sum:
How to solve for unknown variables.
In Mathematics, alphabets or letters referred to as variables are used to denoted the missing values in an algebraic expression. Thus, we would solve for the unknown variables as follows:
Lowest common multiple (LCM) = [tex]x^2[/tex]
Taking the LCM of the left-hand side, we have:
[tex]\frac{3x\;+\;5}{x^2} = \frac{ax+b}{x^2}[/tex]
By comparison, we have:
[tex]3x=ax\\\\[/tex]
a = 3
b = 4
Therefore, the missing values are 3 and 4 respectively.
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