· Web view2016/08/16 · Chapter 16.2, part 1: Solving Quadratic Functions by Square Roots (Imaginary #s) Solving Quadratic Equations by SQUARE ROOTS * Square Root Property – To

Chapter 16.2, part 1: Solving Quadratic Functions by Square Roots (Imaginary #s)

Solving Quadratic Equations by SQUARE ROOTS

*Square Root Property – To solve a quadratic equation, you can take the square root of both sides.*Don’t forget to consider the positive and negative square roots!

*Imaginary #'s are also referred to as complex numbers!

Completing the Square on the next page.

Chapter 16.2, part 2: Solving Quadratic Functions by

Completing the Square

Visual Method of Completing the Square:

How many 1-by-1 tiles will it take to

complete the square?

How many 1-by-1 tiles will it take to

complete the square?

How many 1-by-1 tiles will it take to

complete the square?

Below, we will answer different questions about the figures. We will also

represent the area of each figure with an

expression.

So, not only are we physically completing a square, we are also

completing a perfect square trinomial.

Because of the statement to the left, we can complete the square with any expression: x2 + bx.

We can do this by dividing b by 2, then squaring the number, this value becomes c.

Complete the square below:

We can compare the number of rectangular

tiles with the 1-by-1 tiles to discover a pattern.

The number a rectangular tiles in each figure corresponds to the coefficient of x, while the

number of 1-by-1 tiles corresponds to the constant.

The number a rectangular tiles in each figure corresponds to the coefficient of x, while the

number of 1-by-1 tiles corresponds to the constant.