Question

X²-4x+5=0 теорема виета​

Answer 1

Ответ:не имеет решения

Объяснение:d=(4)^2-4*5=16-20=-4

Answer 2

The Vieta's formulas, also known as Vieta's theorem, are mathematical relationships that connect the coefficients of a polynomial equation with the sums and products of its roots. For a quadratic equation of the form:

ax^2 + bx + c = 0

The Vieta's formulas are as follows:

1. Sum of the roots (α + β): The sum of the roots of the quadratic equation is given by the negative ratio of the coefficient of the linear term to the coefficient of the quadratic term:

α + β = -b / a

2. Product of the roots (α * β): The product of the roots of the quadratic equation is given by the constant term divided by the coefficient of the quadratic term:

α * β = c / a

Now, let's apply these formulas to the quadratic equation you provided:

x^2 - 4x + 5 = 0

Here, a = 1, b = -4, and c = 5.

1. Sum of the roots (α + β):

α + β = -(-4) / 1 α + β = 4

2. Product of the roots (α * β):

α * β = 5 / 1 α * β = 5

So, the sum of the roots (α + β) is 4, and the product of the roots (α * β) is 5.