Suppose there are two x's in a quadratic equation. 、x？ Have the following relationship:

There are:

Extended data:

The meaning of Vieta's theorem:

The discriminant of roots is a necessary and sufficient condition for judging whether an equation has real roots. Vieta theorem explains the relationship between roots and coefficients.

Whether the equation has real roots or not, Vieta's theorem is applicable between the roots and coefficients of a quadratic equation with real coefficients.

The combination of discriminant and Vieta's theorem can more effectively explain and judge the conditions and characteristics of the roots of a quadratic equation with one variable.

The most important contribution of Vieta's theorem is the promotion of algebra. Firstly, he systematically introduced algebraic symbols, promoted the development of equation theory, replaced unknowns with letters, and pointed out the relationship between roots and coefficients.

Vieta's Theorem lays a foundation for the study of unary equations in mathematics.

Baidu encyclopedia-Vieta theorem