Nature of Roots (Grade 11 NSC Matric Mathematics): Flashcards

Expression under square root in quadratic formula

$\Delta = b^2 - 4ac$

Imaginary (non-real) roots

Real and equal roots

Real and unequal roots

When $\Delta$ is a perfect square

When $\Delta$ is not a perfect square

$ax^2 + bx + c = 0$

Types: real, rational, irrational, or imaginary

Parabola touches x-axis at exactly one point