Solve Quadratics Difference of Squares

What is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Which method is MOST EFFICIENT to solve:
8x²  -  6  = 0

• Square Root Method

• Greatest Common Factor (GCF)

• Complete the Square

• Quadratic Formula

What should you do first in solving this equation?
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.

Can this quadratic be solved by BOTH square root method AND difference of squares?
16x² - 25 = 0

• Yes!

• No - just square root method

• No - just difference of squares method

Solve:
x² - 49 = 0

• x = -7, x = 7

• x = -7

• x = 7

• x = -7, x = 1

Solve:  x² - 81 = 0 

• 9

• 9, -9

• 3, -3, 9, -9

• None of the above

Solve
16a² - 9 = 0

• a = ^-3/₄, ³/₄ 

• a = ^-4/₃, ⁴/₃ 

• a = ^-9/₁₆, ⁹/₁₆ 

• a = ^-16/₉, ¹⁶/₉ 

9x² - 49y²

• ( 3x + 7y) (3x + 7y) 

• ( 3x - 7y) (3x + 7y) 

• ( 3x - 7y) (3x - 7y) 

• Prime

• A

• B

• C

• D

Factor

25x² - 81

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored