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5 December, 15:54

Solve x^2 + 5x - 14 = 0

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Answers (2)
  1. 5 December, 18:13
    0
    x = - 7, x = 2

    Step-by-step explanation:

    Given

    x² + 5x - 14 = 0

    Consider the factors of the constant term ( - 14) which sum to give the coefficient of the x - term ( + 5)

    The factors are + 7 and - 2, since

    7 * - 2 = - 14 and 7 - 2 = + 5, thus

    (x + 7) x - 2) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 7 = 0 ⇒ x = - 7

    x - 2 = 0 ⇒ x = 2
  2. 5 December, 18:41
    0
    x = - 7, x = 2
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