Quadratic Equation

Quadratic equation is a polynomial equation of the second degree. The general form is

Ax² + bx +c = 0

where a ≠ 0. (For a = 0, the equation becomes a linear equation)

Any equation of type ax² + bx + c = 0 where a, b, and c are constants and a <> 0, is the equation in quadratic standard form.

Quadratic formula

A quadratic equation form with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic Equation formula.

If a, b, and c are real numbers and the domain of f is the set of real numbers, then the zeros of f are exactly the x-coordinates of the points where the graph touches the x-axis.

If the discriminant is positive, the graph touches the x-axis at two points, if zero, the graph touches at one point, and if negative, the graph does not touch the x-axis.