Finding the Roots of Quadratic Equations

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Solve.

(2x - 4)² = 16

• x = 4

• x = 10

• x = -2

• x = 0, 4

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Solve by the Square Root method: x² = 16

• ± 4

• ± 8

• 4

• 8

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Solve by ANY method you have learned: x² − 2x - 11=0

Which TWO methods could be used to solve this equation? x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Which TWO methods could be used to solve this equation? x² + 2x = -9

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula