Solve Quadratics Choose the Best Method

Which equation matches these solutions? x = 5 and x = -7

• (x + 5)(x - 7) = 0

• (x - 5)(x + 7) = 0

• (x + 5)(x + 7) = 0

• (x - 5)(x - 7) = 0

x² - 16 = 0

• x = 4

• x = -4

• x = -4 and 4

• x = 16 and -16

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

What would be the best method to solve this quadratic? (You don't have to solve!)

• Factoring

• Square roots

• Completing the square

• Quadratic formula

What would be the best method to solve this quadratic? (You don't have to solve!)

• Factoring

• Square roots

• Completing the square

• Quadratic formula

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 by using a method of your choice:

k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

How many solutions are there?

• 0

• 1

• 2

• 3

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

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

x² + 6x - 13 = 3

• 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.