In the Quadratic Formula, what does it mean if $b^2-4ac>0$, $b^2-4ac<0$, and $b^2-4ac=0$? Concerning the Quadratic Formula:
What does it mean if  $b^2-4ac>0$, $b^2-4ac<0$, and $b^2-4ac=0$?

$\Delta={ b^2-4ac}>0$  means that the equation has two real solutions.
$\Delta= { b^2-4ac}<0$ means that the equation has no real solutions, but two complex solutions.
$\Delta={ b^2-4ac}=0$ means that the equation has one solution.
