Question

-3х^2-6х=4 решите пожалуйста через дискриминант, умоляю ​

Answer 1

на фото

корней нет, тк дискриминант меньше 0

Answer 2

Solving the Quadratic Equation Using the Discriminant

To solve the quadratic equation -3x^2 - 6x = 4 using the discriminant, we can follow these steps:

1. Identify the Coefficients - The coefficients of the quadratic equation are: - a = -3 - b = -6 - c = -4

2. Calculate the Discriminant - The discriminant (denoted as Δ) is calculated using the formula: Δ = b^2 - 4ac

- Substituting the values of a, b, and c into the formula: Δ = (-6)^2 - 4*(-3)*(-4) Δ = 36 - (-48) Δ = 36 + 48 Δ = 84

3. Determine the Nature of the Roots - The nature of the roots can be determined based on the value of the discriminant: - If Δ > 0, the equation has two distinct real roots. - If Δ = 0, the equation has one real root (a repeated root). - If Δ < 0, the equation has no real roots (two complex roots).

4. Calculate the Roots - The roots of the quadratic equation can be calculated using the formula: x = (-b ± √Δ) / (2a)

- Substituting the values of a, b, and Δ into the formula: x = (-(-6) ± √84) / (2*(-3)) x = (6 ± √84) / (-6) x = (6 ± 2√21) / (-6) x = -1 ± (1/3)√21

Conclusion

The solutions to the quadratic equation -3x^2 - 6x = 4 using the discriminant are: x = -1 + (1/3)√21 and x = -1 - (1/3)√21.