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    General & Math

    Quadratic Equation Roots Calculator

    Solve the real roots and vertex of a quadratic equation ax² + bx + c = 0. Only real roots are displayed. A negative discriminant is reported as an invalid real-root request. This browser-local calculator updates from numeric inputs and shows a labelled breakdown without uploading your data.

    MAKE IT SIMPLE
    Calculation assumptions

    Only real roots are displayed. A negative discriminant is reported as an invalid real-root request.

    Result

    Worked examples

    Coefficient a 1 · Coefficient b -3 · Coefficient c 2

    First calculated quantity: 1.00000

    Solve the real roots and vertex of a quadratic equation ax² + bx + c = 0. Only real roots are displayed. A negative discriminant is reported as an invalid real-root request.

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