Question

Which values of x will make the expression 6x^2-54/5x^2-20 equal to 0? Check all that apply.

−9
−3
−2
0
2
3
9

Answer 1

Answer: x=-3 and x=3

Step-by-step explanation: edge 2020

Answer 2

From the given expression:
(6x^2-54)/(5x^2-20)
simplifying the above we get:
[6(x^2-9)]/[5(x^2-4)]
=[6(x-3)(x+3)]/[5(x+2)(x-2)]
The expression will be 0 when the numerator is zero, thus given the numerator, the values that will make it 0 will be x=3 and x=-3
hence the answer is:
x=-3 and x=3