Calculus

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Find the x-coordinates of all points on the graph of y = x^3 - 4x^2 + 5x at which the tangent line is parallel to 2y - 10x - 7 = 0

  • Calculus -

    the slope of the given line is 5

    so find dy/dx for the cubic
    and set that result equal to 5

    you will get a quadratic which factors nicely.

    let me know what values of x you got.

  • Calculus -

    I got x=10/3 and x=6

  • Calculus -

    3x^2 - 8x + 5 = 5
    x(3x-8) = 0
    x = 0 or x = 8/3

    I don't understand how you got your answers.

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