### Home > CCA > Chapter 9 > Lesson 9.1.2 > Problem9-19

9-19.

Does a quadratic equation always have two real solutions? That is, does a parabola always intersect the $x$-axis twice?

1. If possible, draw an example of a parabola that only intersects the $x$-axis once.

2. What does it mean if the quadratic equation has no solution? Draw a possible parabola that would cause this to happen.