Solving by Quadratic Equations

Square Root

100

The roots of x² = 16

What are x = 4 and x = -4?

200

The roots of x² - 25 = 0

What are x = 5 and x = -5?

300

The roots of 2x² =128

What are x = 8 and x = -8?

400

The roots of x² + 9 = 0

What are x = 3i and x = -3i?

500

The roots of 3x² + 12 = 0

What are x = 2i and x = -2i?

Factoring

100

The roots of x² - 5x + 6 = 0

{(x - 3)(x - 2)}

 What are x = 3 and x = 2?

200

The roots of x² + 7x + 10 = 0

{(x + 2)(x +5)}

What are x = -2 and x = -5?

300

The roots of 2x² - 8x = 0

{2x(x - 4) = 0}

What are x = 0 and x =4?

400

The roots of 3x² - 12x + 9 = 0

{3(x - 1)(x - 3)}

What are x = 1 and x = 3?

500

4The roots of x² - 20x + 25 = 0

{(x - 10)(x - 10)}

What is x = 10?

Graphing

100

For y = x² - 4, find the following:

1. Axis             2. Vertex 

3. Solution

1. x = 0          2. (0, -4)

3. {-4, 4}

200

For y = y = x² - 2x - 3 , find the following:

1. Axis             2. Vertex

3. solution

1. x = 1         2. (1, -4)

3. {-1,3}

300

For y = x² + 6x + 8, find the following:

1. Axis             2. Vertex

3. Solutions

1. x = -3          2. (-3, -1)

3. {-4,-2}

400

For y = 2x² - 8x + 6, find the following:

1. Axis             2. Vertex

3. zeros

1. x = 2         2. (2, -2)

3. {1,3}

500

For y = -3x² + 12x - 5, find the following:

1. Axis             2. Vertex

1. x = 2             2. (2, 7)

Random

100

A method that cannot be used to solve this equation: y = x² + 1 + 2 

What is Factoring?

200

The number of real solutions this quadratic has

x² + 20 = 20

What is 1?

{x=0}

300

The name of the graph of a quadratic equation

What is Parabola?

400

The quadratic formula

What is x = (-b ± √(b²-4ac))/(2a)?

500

The values of b and c of the quadratic equation ( ax² + bx + c = 0 ) such that the equation has -2 and 3 as roots.

{(x + 2)(x - 3) ----> x² - x - 6 }

What are b = -1 and c = -6?