2017arXiv (Cornell University)Open access

An alternative quadratic formula

Hungerb\"uhler, Norbert

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Abstract

The classical quadratic formula and some of its lesser known variants for solving the quadratic equation are reviewed. Then, a new formula for the roots of a quadratic polynomial is presented.

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What this paper is about

The classical quadratic formula and some of its lesser known variants for solving the quadratic equation are reviewed. Then, a new formula for the roots of a quadratic polynomial is presented.

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Available abstract

The classical quadratic formula and some of its lesser known variants for solving the quadratic equation are reviewed. Then, a new formula for the roots of a quadratic polynomial is presented.

Key concepts: Quadratic equation, Binary quadratic form, Solving quadratic equations with continued fractions, Isotropic quadratic form, Quadratic function, Mathematics, Applied mathematics, Legendre symbol

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