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4.6: Quadratic Formula and Complex Sums

Difficulty Level: At Grade Created by: CK-12
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Vocabulary

complex number

A complex number is the sum of a real number and an imaginary number, written in the form a + bi.

complex root

A complex root is a complex number that, when used as an input (x) value of a function, results in an output (y) value of zero.

discriminant

The discriminant is the part of the quadratic formula under the radical, b^2 - 4ac. A positive discriminant suggests two real roots to the quadratic equation, a zero suggests one real root with multiplicity two, and a negative indicates two complex roots.

Imaginary Numbers

An imaginary number is a number that can be written as the product of a real number and i.

Quadratic Formula

The quadratic formula states that for any quadratic equation in the form ax^2+bx+c=0, x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}.

Real Number

A real number is a number that can be plotted on a number line. Real numbers include all rational and irrational numbers.

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Date Created:
Nov 01, 2012
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MAT.ALY.424.L.1