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31 December, 19:21

Identify the x-intercepts. Justify your answer by showing each step. y=2x^2+3x-20

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  1. 31 December, 19:52
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    x = - 4 and x = 5/2

    Step-by-step explanation:

    x-intercepts when y = 0

    So

    2x^2 + 3x - 20 = 0

    2 * (-20) = - 40

    -40 = 8 * (-5)

    and 8 - 5 = 3

    So

    2x^2 + 3x - 20 = 0

    2x^2 + 8x - 5x - 20 = 0

    2x (x + 4) - 5 (x + 4) = 0

    (2x - 5) (x + 4) = 0

    2x - 5 = 0; x = 5/2

    x + 4 = 0; x = - 4

    Answer

    x = - 4 and x = 5/2
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