Question

For which values of x will the rational expression below be equal to zero? (X-1)(x+5)/(x-5)

Answer 1

ANSWER

$x = 1\: or \: x = - 5$

EXPLANATION

The given rational expression is

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

For the given rational function to be zero, then the numerator must be equal to zero.

We now equate the numerator to zero and solve for x.

This implies that,

$(x - 1)(x + 5) = 0$

We use the zero product property to obtain,

$(x - 1) = 0 \: or \: (x + 5) = 0$

$x = 1\: or \: x = - 5$

Hence the zeros of the given rational function are x=-5,x=1

Answer 2

Answer:

1 and -5

Step-by-step explanation:

0 divided by anything is 0

the numerator can equal zero if one factor =0

so

x-1=0

or

x+5=0

solving, we get x=1 or x=-5