The quadratic equation has a discriminant equal to zero
MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
The quadratic equation x2+6x+9=0 has a discriminant equal to zero. What does this imply about the graph of y=x2+6x+9?
(a) It does not intersect the x-axis because its graph is always above it.
(b) It cuts the x-axis at two distinct points.
(c) It touches the x-axis at exactly one point.
(d) It lies completely below the x-axis because the parabola opens downward.