Question

Найдите множества решений неравенства 2х2+3х- больше или ровно нолю

Answer 1

Больше 0 конечно. Поставь пожалуйста л.

Answer 2

Solution to the Inequality 2x^2 + 3x - b ≥ 0

To find the solutions to the inequality 2x^2 + 3x - b ≥ 0, we can use the discriminant to determine the nature of the solutions. The discriminant (denoted as D) of a quadratic equation ax^2 + bx + c = 0 is given by the expression D = b^2 - 4ac. The nature of the solutions depends on the value of the discriminant.

- If D > 0, the quadratic equation has two distinct real solutions. - If D = 0, the quadratic equation has exactly one real solution. - If D < 0, the quadratic equation has no real solutions.

Now, let's consider the specific inequality 2x^2 + 3x - b ≥ 0. To find the values of x that satisfy this inequality, we need to determine the range of values for which the quadratic expression 2x^2 + 3x - b is greater than or equal to zero.

Nature of Solutions

The nature of the solutions to the inequality 2x^2 + 3x - b ≥ 0 depends on the discriminant D of the corresponding quadratic equation.

- If D > 0, the inequality 2x^2 + 3x - b ≥ 0 has two distinct real solutions. - If D = 0, the inequality 2x^2 + 3x - b ≥ 0 has exactly one real solution. - If D < 0, the inequality 2x^2 + 3x - b ≥ 0 has no real solutions.

Conclusion

The solutions to the inequality 2x^2 + 3x - b ≥ 0 depend on the value of the discriminant D, which determines the nature of the solutions. The specific values of b will influence the nature of the solutions, as indicated by the discriminant.

For further details and specific solutions, additional information about the value of b is needed to determine the exact nature of the solutions to the given inequality.