Algebra 2 (5-3, 5-4, 5-5, 5-6)

Imaginary unit

(i) is defined as (square root) of -1.

Complex number

A number that can be written in the form a + bi, where a and b are real numbers and i = (square root) of -1.

Conjugate

Complex number a - bi.

Collect variable terms on one side of the equation and constants on the other. Add (b/2) squared to both sides of the equation and factor as a perfect square. Take square root of both sides of the equation. Solve for the values of the variable.

How do you convert from standard form to vertex form by completing the square?

Set x and the constant equal and y and "i" equal.

How do you find the values of x and y to make a statement true involving complex numbers?

Make sure it has two numbers that can equal up to b.

How do you know if the new "C" is good when completing the square?

WORK BACKWARDS

How do you write a quadratic function in standard form if you are given the zeroes?

Discriminant

The expression under the radical sign.

Imaginary number

The square root of a negative number.

Determine the number of real roots of a quadratic equation.

What is the discriminant used for?