Solve Quadratic Equations by Factoring and 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.

Tags

CCSS.HSA-REI.B.4B

Solve this quadratic equation by factoring

• -2, 4

• -8

• ±8

• No real solution

Solve by factoring.
z² - 6z - 27 = 0

• z = 3 or z = 9
• z = 3 or z = -9
• z = -3 or z = 9
• z = -3 or z = -9

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve the following quadratic equation by factoring: $2x^2-5x+2=0$  

•  $x=\frac{-1}{2}$  & $x=-2$  

•  $x=-1$  & $x=-4$  

•  $x=4$  & $x=1$  

•  $x=\frac{1}{2}\ \&\ x=2$  

Solve each equation by factoring.
 $7x^2-25x+12=0$  

•  $x=\frac{5}{3},\ \ x=-1$  

•  $x=\frac{5}{2},\ x=-4$  

•  $x=\frac{4}{7},\ x=3$  

•  $x=\frac{5}{2},\ \ x=-2$ 

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

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve the following for x by using the Quadratic Formula

2x²+6x=7

• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:
 $5x^2+3x-1=0$ 

•  $x=\frac{3\pm\sqrt{29}}{5}$  

•  $x=\frac{8}{5}\ or\ x=-\frac{2}{5}$  

•  $x=\frac{-3\pm\sqrt{29}}{10}$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4