Discriminant and the Plane

<a href="https://www.prepswift.com/quizzes/quiz/prepswift-discriminant-and-the-plane" target="_blank">Discriminant and the Plane Exercise</a>The discriminant from Algebra returns, particularly the Discriminant and the Plane. Recall that the descriminant is the $b^2 - 4ac$ part of the quadratic equation (see below): $$\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$$ Three Things Can Happen Number 1: If the discriminant is positive, the equation has two $x$-intercepts and will cross the $x$-axis twice. Number 2: If the discriminant is $0$, the equation has exactly one $x$-intercept and will intersect the $x-axis$ once. Number 3: If the discriminant is negative, the equation has zero $x$-intercepts and will NOT cross the $x$-axis at all.