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    Quadratic equation

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    Please explain and show work

    Y=2x^2+12x+19

    Find

    discriminant

    nature of solutions

    relationship to x axis

    solution

    vertex

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    https://brainmass.com/math/basic-algebra/discriminant-nature-solutions-vertex-82413

    Solution Preview

    Y=2x^2+12x+19

    discriminant

    nature of solutions

    relationship to x axis

    solution

    vertex

    please explain and show work
    Solution:
    Discriminant:
    Remember that the solution of the quadratic equation
    a x2 + b x + c = 0
    is given by the quadratic formula

    ________________________________________ ________________________________________
    -b ± b2 - 4 a c
    x = ________________________________________ ________________________________________
    2 a
    The discriminant of a quadratic equation is simply the expression inside the square root in this formula :
    D = b2 - 4 a c
    To make the working a bit clearer, we can rewrite the equation
    2 x2 + 12 x + 19 = 0
    as
    2 x2 + 12 x + 19 = 0.
    Comparing this with
    a x2 + b x + c = 0
    shows that
    a = 2 , b = 12 and c = 19.
    Substituting ...

    Solution Summary

    This shows how to find the discriminant, solution, and vertex for a quadratic equation.

    $2.49

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