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8 February, 09:06

Find the value of c such that y = x + c is a tangent to the parabola y = x squared - x - 12

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  1. 8 February, 09:29
    0
    c = - 13

    Step-by-step explanation:

    by property of tangent line, equation

    x² - x - 12 = x + c

    x² - 2x - 12 - c = 0

    has only one solution, which mean

    - 12 - c = 1

    c = - 13
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