Quadratic Equations and Square Root Property

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

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.

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 is this?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Solve x² - 1 = 0

• x = 1 or x = -1

• x = 1/2 or x = -1/2

• No solution

• x = 2

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

• ±10

• -14, 6

• -6, 14

• 100

x² - 4 = 0

• x = -2

• x = 4 or x = -4

• x = 4

• x = 2 or x = -2

16a² - 9 = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Use the square root property to solve the Quadratic Equation.
2(x - 4)² = 200

Show your work on paper!

• ±10

• -14, 6

• -6, 14

• 100

Solve x² = 81

• x = 9

• x = -9

• x = 9 or x = -9

• x = 40.5