Question

Когда квадратное уравнение имеет один отрицательный корень? 50 БАЛЛОВ!!!

Answer 1

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Answer 2

When Does a Quadratic Equation Have One Negative Root?

A quadratic equation has one negative root when the discriminant (the expression under the square root in the quadratic formula) is greater than zero and the coefficients of the equation satisfy certain conditions. Specifically, for a quadratic equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, the discriminant D is given by the formula:

D = b^2 - 4ac

If the discriminant is greater than zero, then the quadratic equation has two real and distinct roots, one of which is negative. This occurs when the graph of the quadratic equation intersects the x-axis at two distinct points, with one point being to the left of the y-axis (i.e., a negative root).