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27 August, 18:10

Find the x-intercepts for the parabola defined

by this equation:

y=2x2 + 4x - 6

Write your answer as two ordered pairs:

(x1, y1), (x2, y2)

Separate the values with a comma. Round, if

necessary, to the nearest hundredth.

Enter the correct

+2
Answers (1)
  1. 27 August, 18:24
    0
    ( - 3, 0) and (1, 0)

    Step-by-step explanation:

    Given

    y = 2x² + 4x - 6

    To find the x - intercepts let y = 0, that is

    2x² + 4x - 6 = 0 ← divide all terms by 2

    x² + 2x - 3 = 0 ← in standard form

    (x + 3) (x - 1) = 0 ← in factored form

    Equate each factor to zero and solve for x

    x + 3 = 0 ⇒ x = - 3

    x - 1 = 0 ⇒ x = 1

    The x - intercepts are ( - 3, 0) and (1, 0)
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