Question

X² + 2x + 3 = 0 здесь есть корень?

Answer 1

Объяснение:

х²+2х+3=0

Д=4-12=-8

Д<0 значит корня нет

Answer 2

Ответ:

D=4^2-2*3=корень 10

Объяснение:

D=4^2-2*3=корень 10

Answer 3

To find out if the equation has a solution (root), we can check the discriminant (Δ) of the quadratic equation. The discriminant is given by Δ = b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In the equation x² + 2x + 3 = 0, a = 1, b = 2, and c = 3.

Now, let's calculate the discriminant:

Δ = (2)² - 4 * 1 * 3 = 4 - 12 = -8

If the discriminant is greater than zero (Δ > 0), the equation has two distinct real roots. If the discriminant is equal to zero (Δ = 0), the equation has one real root (a repeated root). However, if the discriminant is less than zero (Δ < 0), the equation has no real roots, and the solutions would be complex or imaginary.

In this case, the discriminant is Δ = -8, which is less than zero. Therefore, the equation x² + 2x + 3 = 0 has no real roots, and its solutions would be complex or imaginary.