Question

Which of the following values of x makes the rational expression below equal

to zero?
6x-12
X-7

Answer 1

`x=2`.

Explanation:

The given rational expression is
`(6x-12)/(x-7)`.

To find the x-value that makes the rational expression zero, we equate the whole function or just the numerator to zero and solve for x.

This implies that:

`(6x-12)/(x-7)=0`

`6x-12=0(x-7)`.

`6x-12=0`.

`6x=12`.

Divide both sides by 6

`x=2`.

Therefore x=2 makes the rational expression zero.