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24 November, 11:01

Number 53

Find the x-intercepts of y = 4x2 - 15x - 4.

4 and 1/4

-21 and 10

-1/4 and 4

No x-intercepts exist.

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Answers (1)
  1. 24 November, 11:09
    0
    X-intercepts

    f (x) = 0

    4x² - 15x - 4 = 0

    4x² - 16x + x - 4 = 0

    4x (x - 4) + 1 (x - 4) = 0

    (x - 4) (4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0

    x = 4 or 4x = - 1 ⇒ x = - 1/4

    Answer: - 1/4 and 4.
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