Compare your answers.

  1. Use the graph provided to determine the solutions to the quadratic equation . Verify the solutions by substituting them into the equation.



    The solutions to the equation will be the x-intercepts of the graph of the function . The x-intercepts are −5 and , so the solutions to the corresponding quadratic equation are −5 and .

    Verification:
    For x = −5,

    Left side
    Right side
    0

    The two sides are equal, so −5 is a solution.

    For ,

    Left side
    Right side
    0

    The two sides are equal, so is a solution.

  2. a. Determine the x-intercepts of the graph of the function .

    The function is in factored form so the x-intercepts can be determined as
    follows:



    The x-intercepts are 7 and 12.



    b. Determine the solutions to the equation .

    The solutions to the equation will be the x-intercepts of the graph of the function . The x-intercepts are 7 and 12, so the solutions to the corresponding quadratic equation are 7 and 12.