Roots and Zeros of Quadratic Equations

What are some other names for the SOLUTIONS of a quadratic equation?

• y-intercepts

• roots

• x-intercepts

• zeros

What should you do first if solving this equation using the FACTORING method?

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

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 by the Square Root method:

-5x² = -50

• ± 5

• ± 10

• ± √10

• -10

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

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Which TWO methods could be used to solve this equation?

x² - 3x - 54 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula