The General Quadratic Formula (VCE SSCE Mathematical Methods): Flashcards

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

$ax^2 + bx + c = 0$ where $a \neq 0$

$x = -\frac{b}{2a}$

$\Delta = b^2 - 4ac$

Two distinct real solutions

Exactly one solution (repeated root)

No real solutions

When doesn't factor nicely or need exact values

Completing the square

Average of the two solutions