Which of the following values of x makes the rational expression below equal to zero? 2x+16/x+5

a. 5

b. - 5

c. 8

d. - 8

2x + 16 / x + 5

For this case what you should know is that an indefinite expression are those in which mathematically no numerical value can be obtained.

We have then that a division between zero causes an expression to be undefined.

For x = - 5 we have:

(2 (-5) + 16) / (( - 5) + 5)

(-10 + 16) / ( - 5 + 5) = 6/0 (undefined)

Answer:

x = - 5

b. - 5