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  • When should you use the quadratic formula

    • When to use quadratic formula and discriminant...

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    • The Quadratic Formula Explained

    Purplemath

    When would I use the Quadratic Formula?

    You can use the Quadratic Formula any time you're trying to solve a quadratic equation — as long as that equation is in the form "(a quadratic expression) that is set equal to zero".

    Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor.

    But sometimes the quadratic is too messy, or it doesn't factor at all, or, heck, maybe you just don't feel like factoring. While factoring is not always going to be successful, the Quadratic Formula can always find the answers for you.

    The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.

    The Quadratic Formula is derived from the process of completing the square, and is formally stated as:

    What is the Quadratic Formula?

    The Quadratic Formula is a rule that says

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