Choose Your Method Solving Quadratics

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

• 12

• 6

• 36

• 5

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.

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.

What is the first step to solving THIS equation by completing the square?

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

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

What method works 100% of the time? 

• Greatest Common Factor (GCF)

• Quadratic Formula

• Factoring

• Square Root Method

How many solutions are there?

• 0

• 1

• 2

• 3

Solve
3x² - 192 = 0

• x = - 16, 16

• x has no real solutions

• x = - 8, 8

• x = - 64, 64

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}