Summary (Grade 11 NSC Matric Mathematics): Flashcards

If $a \times b = 0$, then $a = 0$ and/or $b = 0$

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$\Delta = b^2 - 4ac$

Non-real (complex), no real solutions

Real and equal, one repeated solution

Real and unequal, two distinct solutions

Roots are rational

Roots are irrational

$x = 3$ or $x = -5$

Otherwise equation wouldn't be quadratic