Question

Which of the following values of x makes the rational expression below equal
to zero?
6x-12
X-7

Answer 1

Answer:

$x=2$.

Step-by-step explanation:

The given rational expression is $\frac{6x-12}{x-7}$.

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:

$\frac{6x-12}{x-7}=0$

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

$6x-12=0$.

$6x=12$.

Divide both sides by 6

$x=2$.

Therefore x=2 makes the rational expression zero.