Solve Quadratics by Best Method

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

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

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

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

Which TWO methods could be used to solve this equation? 2x² + 4x - 6 = 0

• Square Root Method

• Factor Method

• Quadratic Formula

• Completing the Square

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.

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