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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!

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Page 1: · 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)

Page 2: · 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

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!

Page 3: · 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

Page 4: · 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

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

Completing the Square on the next page.

Page 5: · 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 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.

Page 6: · 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

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.

Page 7: · 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

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