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    Discriminants and graphing

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    PART ONE:

    ATTACHED

    PART TWO:

    what type of graph is:

    x^2 + 3y^2 - 4x + 6y = -1

    A) parabola

    B) circle

    C) ellipse

    D) hyperbola

    PART THREE:

    Find the value of the discriminant of the equation. Describe the roots completely. Do not solve.

    3x^2 + 4x - 5 = 0

    A) 31; 2 real, irrational roots

    B) -44; 2 imaginary roots

    C) 76; 2 real, rational roots

    D) 76; 2 real., irrational roots

    © BrainMass Inc. brainmass.com March 4, 2021, 5:43 pm ad1c9bdddf
    https://brainmass.com/math/algebra/discriminants-and-graphing-7342

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    Solution.
    Part One. since 5x^2+9y^2=45 <==> x^2/9+y^2/5=1
    The graph is ellipse with intersection points (-3,0) ...

    Solution Summary

    This shows how to find discriminants and how to identify the shape of a graph given the equation

    $2.49

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