Quadratic formula

complex number

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i2 = −1. In this expression, a is the real part and b is the imaginary part of the complex numbe

imaginary number

A number that when squared gives a negative result. Now, if you square any Real Number you always get a positive, or zero, result. ... The "unit" imaginary numbers (the same as "1" for Real Numbers) is √(-1) (the square root of minus one), and its symbol is i, or j

quadratic equation

An equation where the highest exponent of the variable (usually "x") is a square (2). ... A Quadratic Equation is usually written ax2 + bx + c = 0. Example: 2x2 + 5x − 3 = 0. See: Exponent

Completing the Square

Completing the Square is a technique used to solve quadratic equations, graph quadratic functions, and evaluate integrals. This technique can be used when factoring a quadratic equation does not work or to find irrational and complex roots

Discriminant

Discriminant of a Quadratic. The number D = b2 - 4ac determined from the coefficients of the equation ax2 + bx + c = 0. The discriminant reveals what type of roots the equation has. Note: b2 - 4ac comes from the quadratic formula

standard form of a quadratic equation

In math, we define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax^2 + bx + c, where a, b, and c are numbers and a cannot be 0.

complex conjugate

In mathematics, the complex conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i

zero

a pair of numbers whose sum is zero, e.g. +1, -1. • used to illustrate addition and subtraction problems. with positive and negative integers

justify

postulate, or theorem which enables a conclusion to be drawn. Ex: In the proof below, the justifications are in re

root

The root of a number x is another number, which when multiplied by itself a given number of times, equals x. For example the second root of 9 is 3, because 3x3 = 9. The second root is usually called the square root. The third root is susually called the cube root See Root (of a number)