Question

The quadratic equation has one x-intercept. The discriminant condition ensures real roots.

a. True
b. False

Answer 1

The statement 'The quadratic equation has one x-intercept' is incorrect. The discriminant condition determines the number of real roots.

Step-by-step explanation:

The statement 'The quadratic equation has one x-intercept' is incorrect. A quadratic equation can have zero, one, or two x-intercepts. The number of x-intercepts is determined by the discriminant of the quadratic equation.

The discriminant is the part of the quadratic formula underneath the square root sign, given by the expression b^2 - 4ac. The discriminant condition for real roots is when the discriminant is greater than or equal to zero. This ensures that the quadratic equation has real roots.

So, the correct answer is False - the discriminant condition ensures real roots.