Manuals/calci/QUADRATIC

QUADRATIC(a,b,c)

$a$ , $b$ and $c$ are any real numbers.

Description

This function gives the root values of a quadratic equation.
In elemetary algebra, general quadratic equation is $a{x^{2}}+bx+c$ where $a$ , $b$ and $c$ are constant values and $x$ is unknown.
Constant $a$ cannot be equal to zero(0).
The roots of a quadratic equation can be calculated as -

$x=(-b+{\sqrt {b^{2}-4ac}})/2a$ and $x=(-b-{\sqrt {b^{2}-4ac}})/2a$

Geometrically, these roots represent the x values at which any parabola, explicitly given as y = ax2 + bx + c, crosses the x-axis.
The name Quadratic comes from "quad" meaning square, because the variable gets squared (like x^2).

It is also called an "Equation of Degree 2" (because of the "2" on the x)

Discriminant:

(b^2 − 4ac) in the formula above is called the Discriminant, because it can "discriminate" between the possible types of answer:

when (b^2 − 4ac) is positive, we get two Real solutions
when it is zero, we get just ONE real solution (both answers are the same)
when it is negative, we get two Complex solutions.