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3 November, 07:05

Which method is the most efficient method to use to solve x^2+6x-7=0?

A) Using the quadratic formula

B) Factoring

C) Isolating the x^2 term and finding the square root of both sides

D) All three methods would be efficient

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Answers (1)
  1. 3 November, 07:14
    0
    B

    Step-by-step explanation:

    In my opinion factoring is the better approach here

    Given

    x² + 6x - 7 = 0 ← in standard form

    Consider the factors of the constant term ( - 7) which sum to give the coefficient of the x - term ( + 6)

    The factors are + 7 and - 1, since

    7 * - 1 = - 7 and + 7 - 1 = 6, hence

    (x + 7) (x - 1) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 7 = 0 ⇒ x = - 7

    x - 1 = 0 ⇒ x = 1
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