Question

The equation 4x^2-4x=24 is rewritten in the form of 4(x-p)(x-q)=0. What is the value of p+q?

A: -1
B: 4
C: 1
D: 5

Answer 1

C: 1

Explanation:

4x^2-4x=24

Subtract 24 from each side

4x^2 -4x -24 = 24-24

4x^2 -4x-24 =0

Factor out a 4 from each side

4(x^2 -x -6) =0

What 2 numbers multiply to -6 and add to -1

-3*2 = -6

-3 +2 =-1

4(x-3) (x+2) =0

4(x-3) (x- -2) =0

p=3 q =-2

p+q

3-2

1