Explore BrainMass

Explore BrainMass

    Finding solutions through quadratic equations

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 9:00 pm ad1c9bdddf


    Solution Preview

    (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 ...

    Solution Summary

    A complete, Neat and Step-by-step Solution is provided.