Question

Which values of x will make the expression (6x²-54)/5x²-20 equal to ()?

a. -3
b. -2
c. 0
d. 2
e. 3

Answer 1

To find the values of x that make the expression (6x²-54)/(5x²-20) equal to 0, factor the numerator and set each factor equal to 0. The values of x that make the expression equal to 0 are x = -3 and x = 3.

Step-by-step explanation:

To find the values of x that make the expression (6x²-54)/(5x²-20) equal to 0, we set the numerator equal to 0 and solve for x. So, 6x²-54 = 0.

First, we factor out the common factor of 6: 6(x²-9) = 0.

Then, we factor the quadratic expression inside the parentheses using the difference of squares formula: 6(x-3)(x+3) = 0.

Setting each factor equal to 0, we find that x = -3 and x = 3 are the values that make the expression equal to 0.