2 Answers

Elephant · Answer 1 · 2020-07-23T17:05:32+0000

Answer:

Option: B is the correct answer.

B)
(-3x+6)/(8x-9)

We are asked to find the expression which gives the value zero when we substitute x=2.

Hence, we will check each of the options by putting x=2.

A)

(7x-5)/(x^2)

when x=2 we have:

$(7* 2-5)/(2^2)\\\\=(14-5)/(4)\\\\=(9)/(4)\\eq 0$

Hence, option: A is incorrect.

B)

(-3x+6)/(8x-9)

when x=2 we have:

$=(-3* 2+6)/(8* 2-9)\\\\=(-6+6)/(16-9)\\\\=(0)/(7)\\\\=0$

Hence, option: B is correct.

C)

(-5x+8)/(x-2)

when we substitute x=2

we observe that the denominator is zero but the numerator is non-zero.

Hence, x=2 is a excluded point of the rational expression.

Hence, option: C is incorrect.