Solving Quadratics Different Methods

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}

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.

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

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:

-5x² = -50

• ± 5

• ± 10

• ± √10

• -10

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 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 is the BEST method to use to solve this equation?

3a² = 27

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Which is the ONLY method that can be used to solve this equation? 2x² - 7x + 2 = 0

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula