The Nature of the Roots (Grade 12 NSC Matric Mathematics): Flashcards

$b^2 - 4ac$

Non-real or complex

One real, equal, rational root

Two real, unequal roots

$\Delta$ is a perfect square

$\Delta$ not a perfect square

Does not intersect x-axis

Touches x-axis at one point

Set $\Delta = 0$

Reject negatives if impractical