Completing The Square
A technique that can solve any quadratic equation, by factoring into a squared binomial. Not quite as impressive as pulling a rabbit out of a hat, but still a neat trick.
Numbers with both a real and imaginary component, of the form a
The expression b2
. It's called the discriminant because it helps us discriminate
between real and imaginary solutions to quadratic equations. If it's positive, our quadratic has two real roots. If it's negative, it's got two complex roots. If it's zero, we'll only see one real root.
The imaginary number, equal to
Numbers that contain i
, of the form bi
The graphical representation of a quadratic equation. A smooth, continuous curve that points in one direction.
A polynomial equation of the form y
A formula for finding the roots of a quadratic equation:
A relation where the input (x
) is related to the output (f
)) by a quadratic equation: f
) = ax2
The single maximum or minimum value of a parabola.