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How are the real solutions of a quadratic equation related to the graph of the quadratic function?

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2 answers

  1. They are the points where the graph crosses the x-axis. That is, where

    ax^2+bx+c = 0

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  2. the solutions to the quadratic equation correspond with the x-intercepts of the corresponding function

    e.g.
    the solutions of
    x^2 - 7x + 12 = 0
    are x = 4 or x = 3

    and the graph of y = x^2 - 7x + 12 has x-intercepts of 3 and 4

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