Solving Quadratic Equations

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.

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

• ±72
• ±12
• 12
• No real solution

Solve using the Quadratic Formula:
(Hint: Set the equation = to 0)

 $x^2+4x-40=-8$  

•  $x=-10,\ -4$  

•  $x=-4,\ 10$  

•  $x=-8,\ 4$  

•  $x=-4,\ 8$  

Solve using the Quadratic Formula:

 $2x^2+2x-12=0$  

•  $x=-2,\ 3$  

•  $x=2,\ 3$  

•  $x=-3,\ 2$  

•  $x=-3,\ -2$  

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

Solve x²+7x-18=0

• 2 and -9
• -2 and 9
• 2 and 9
• -2 and -9

Solve by taking square roots:

5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no real solution

Solve by finding square roots and simplify completely:
 $2x^2=20$ 

•  $x=\pm10$  

•  $x=\sqrt{10}$  

•  $x=\pm\sqrt{10}$  

• No real solutions

When completing the square on this equation, what integer is added to both sides?

• 3

• 9

• 49

• 81