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    Finding solutions through quadratic equations

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    Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
    1. Integers
    2. Rational numbers
    3. Irrational numbers

    Please see the attached file for the fully formatted problem(s).

    1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex?

    2. Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.

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    https://brainmass.com/math/basic-algebra/finding-solutions-quadratic-equations-210325

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    (1) Quadratic Equations

    (a) With Integer coefficients:

    3x^2 - 4x + 7 = 0

    (b) With Rational Number coefficients

    x^2 + (1/2)x + (3/4) = 0

    (c) With Irrational Number coefficients

    (sqrt 3)x^2 - (sqrt ...

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