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17 May, 11:53

which of the following are solutions to the equation below check all that apply 2x^2 + 6x = 20 A) 2 B) - 10 C) 1 D) 20 E) - 5 F) - 2

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  1. 17 May, 11:58
    0
    A and B
  2. 17 May, 12:01
    0
    A. x = 2

    E. x = - 5

    Step-by-step explanation:

    Step 1: GCF

    2 (x² + 3x) = 20

    x² + 3x = 10

    Step 2: Complete the Square

    x² + 3x + 9/4 = 10 + 9/4

    (x + 3/2) ² = 49/4

    Step 3: Solve

    √ (x + 3/2) ² = √49/4

    x + 3/2 = ±7/2

    x = - 3/2±7/2 or x = - 5, 2
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