Question

if $x = 6$ is the only $x$-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

• the discriminant is 0.
• the discriminant is 6.
• the discriminant is positive.
• the discriminant is negative.

Explanation:

For a quadratic equation, the discriminant determines the number of x-intercepts. A single repeated x-intercept means the quadratic has exactly one real root, which occurs when the discriminant equals 0.

Answer:

The discriminant is 0