Question

For all which value(s) of x will the rational expression below equal zero? Check all that apply

Answer 1

ASolution

Given

$\frac{(x-1)(x+5)}{x-5}$

When the rational expression is zero , we have

$\begin{gathered} \frac{(x-1)(x+5)}{x-5}=0 \\ \\ (x-1)(x+5)=0\times(x-5) \\ (x-1)(x+5)=0 \\ x-1=0\text{ }or\text{ }x+5=0 \\ x=1\text{ or }x=-5 \end{gathered}$

The correct choices are E and F