Glossary Math & Statistics

Quadratic formula

The quadratic formula gives the solutions of `ax² + bx + c = 0`: `x = (−b ± √(b² − 4ac)) / 2a`.

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In more detail

The part under the root, b² − 4ac, is the discriminant: positive means two real roots, zero one, negative two complex roots. For x² − 5x + 6 = 0 the discriminant is 1 and the roots are 2 and 3.

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See also

  • Glossary Complex number
    A complex number has a real part and an imaginary part, written a + bi, where i is defined by i² = −1.
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