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17 October, 06:57

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

+3
Answers (1)
  1. 17 October, 07:11
    0
    C: 1

    Step-by-step 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
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