what are the restricted value of ratio expressed in fraction

Restricted values are values that will make the denominator equal to 0.
The denominator in the given expression is:
[tex]\text{ x}^2\text{ - 4x}[/tex]Now, let's determine what values should be restricted for the denominator not to be zero.
We get,
[tex]\text{ x}^2\text{ - 4x = 0}[/tex][tex]\text{ x}^2\text{ = }4\text{x}[/tex][tex]\text{ }\frac{\text{x}^2}{\text{ x}}\text{ = }\frac{4\text{x}}{\text{ x}}[/tex][tex]\text{ x = 4}[/tex]Therefore, the restricted value of the given ratio is 4.
Or,
[tex]\text{ x }\ne\text{ 4}[/tex]