Question

X^2−37x+27=0теорема Виета ​

Answer 1

Ответ:

Если решать по формуле,то получается

D=37^2-4•7=1369-108=1261

x1=(37-√1261)/2~0,74472;x2=(37+√1261)/2~36,25528

Пошаговое объяснение:

По теории Виета такое решить не получается.

Answer 2

Theorem of Vieta

The theorem of Vieta, named after François Viète, provides a relationship between the roots of a polynomial and its coefficients. For a quadratic equation in the form of ax^2 + bx + c = 0, the theorem of Vieta states the following relationships between the roots and the coefficients:

1. The sum of the roots is equal to -b/a. 2. The product of the roots is equal to c/a.

For the given quadratic equation x^2 - 37x + 27 = 0, the theorem of Vieta can be applied to find the sum and product of the roots.

Application of Vieta's Theorem to the Given Quadratic Equation

For the quadratic equation x^2 - 37x + 27 = 0: 1. The sum of the roots is equal to -(-37)/1 = 37. 2. The product of the roots is equal to 27/1 = 27.

Therefore, according to Vieta's theorem, the sum of the roots of the given quadratic equation is 37 and the product of the roots is 27.

This demonstrates the application of Vieta's theorem in relating the coefficients of a quadratic equation to the sum and product of its roots.