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5 June, 00:35

Which of the following are solutions to the quadratic equation? Check all that

apply.

2x2 + 6x-10 = x2 + 6

A. - 8

B. 1/3

C. 2

D. - 2

E. 8

F. - 1/2

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Answers (1)
  1. 5 June, 00:53
    0
    A and C

    Step-by-step explanation:

    Given

    2x² + 6x - 10 = x² + 6 (subtract x² + 6 from both sides)

    x² + 6x - 16 = 0

    Consider the factors of the constant term ( - 16) which sum to give the coefficient of the x - term ( + 6)

    The factors are + 8 and - 2, since

    8 * - 2 = - 16 and 8 - 2 = + 6, thus

    (x + 8) (x - 2) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 8 = 0 ⇒ x = - 8 → A

    x - 2 = 0 ⇒ x = 2 → C
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