Viet's relations are relations between coefficients and roots of algebraic equations.
If we have an algebraic equation rank n (n ≥ 1),
with an ≠ 0 and a0, ..., an complex numbers
and if x1, x2, ..., xn are its roots, then we have the following relations:
These are called Vièt's relations and they are relations between the coefficients and the roots of an algebraic equation.
They were established, as their name says, by the French mathematician François Viète.
Let be the second-degree equation:
where a ≠ 0.
The Discriminant (Δ) are calculated with this formula:
If Δ ≥ 0, then we have real solutions, x1 and x2 .
At this case the relations of Viète are:
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