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Formulas of Viète

With the formulas of Viète, the coefficients of a quadratic function can be expressed in the sum and the product of its zeros, by




The general form of a quadratic function is

what you can also write as

because it applies that a ≠ 0, otherwise it would not be a second-grade function. If you factorize this function you get

A calculation then gives

so that



Additional information

The formulas were developed by the French mathematician François Viète.


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