Quadratics (Edexcel A-Level Mathematics): Flashcards

$\Delta = b^2 - 4ac$

$\Delta$

$\Delta > 0$

$\Delta = 0$

$\Delta < 0$

Two distinct real roots

One real root (or two equal real roots)

No real roots (complex conjugate pairs)

Opens upwards

Opens downwards

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

$c$

Two x-intercepts

One x-intercept (vertex touches x-axis)

No x-intercepts