Solving Quadratic Equations Using the Quadratic Formula

Solve using the Quadratic Formula:

 $2x^2+7x-15=0$  

•  $x=-1.5,\ 5$  

• No Solution

•  $x=-5,\ 1.5$  

•  $x=0.7,\ 5$  

Tags

CCSS.HSA-REI.B.4B

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

 $x^2+4x-40=-8$  

•  $x=-10,\ -4$  

•  $x=-4,\ 10$  

•  $x=-8,\ 4$  

•  $x=-4,\ 8$  

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:

 $2x^2+2x-12=0$  

•  $x=-2,\ 3$  

•  $x=2,\ 3$  

•  $x=-3,\ 2$  

•  $x=-3,\ -2$  

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:

 $b^2+b-56=0$  

•  $b=-8,\ 7$  

•  $b=-7,\ 8$  

•  $b=-1.4,\ 1.8$  

•  $b=-0.5,\ 2.5$  

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

 $b^2-4ac$  is called the . . .

• Square root

• Quadratic formula

• X-intercepts

• Discriminant 

Tags

CCSS.HSA-REI.B.4B

If there are no real solutions, the discriminant is

• zero

• a postive number

• a negative number

• a perfect square

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Solve the following for x by using the Quadratic Formula

2x²+6x=7

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B