Solving Quadratic Equations

 $x^2\ +2x\ -1\ =0\$  
What is the first step to do to complete the square?

• add 2 to both sides of the equation

• add 4 to both sides of the equation

• move the term -1 to the right side of the equation

• add 4 to the left side of the equation

Tags

CCSS.HSA-REI.B.4B

 $x^2-\ 4x\ =\ -4$  
What is the first step you do before completing the square?

• Add - 4 to both sides of the equation

• Add -8 to both sides of the equation 

• Add 4 to both sides of the equation

• Add 8 to both sides of the equation

Tags

CCSS.HSA-REI.B.4B

 $x^2\ -\ 4x\ =\ -4$  
What are the roots of this equation?

• x = -4, 4

• x = -2, 2

• x = -2

• x = 2

Tags

CCSS.HSA-REI.B.4B

 $x^2-8x\ -\ 9\ =\ 0$  
When solving this equation by completing the square, which of the following step is part of the method?

•  $x^2\ -\ 8x\ +\ 8\ =\ 9\ +\ 8$  

•  $\left(x\ -4\right)^2\ =\ 16$  

•  $\left(x\ -\ 4\right)^2\ =\ 25$  

•  $\left(x^{\ }-\ 2\right)^2\ =\ 16$  

Tags

CCSS.HSA-REI.B.4B

 $x^2\ -\ 4\ =\ 11$  
What is the best way to solve this equation?

• Completing the square

• Taking the square root

• Factoring

• Using the quadratic formula

Tags

CCSS.HSA-REI.B.4B

 $x^2\ -\ 4\ =\ 12$  
What are the solutions of this equation?

• x =  $\pm\sqrt{8}$  

• x =  $\pm4$  

• x =  $\pm\sqrt{4}$  

• x =  $\pm\sqrt{2}$  

Tags

CCSS.HSA-REI.B.4B

 $x^2\ +\ 5x\ =\ 0$  

What are the x-intercept of this equation?

• No real solutions

• x = 0, - 5

• x =  $\pm5$  

• x = 0, 5

Tags

CCSS.HSA-REI.B.4B

 $4x^2\ =\ -16$  
Solve this equation by taking the square roots.
What are to solutions?

• No real solutions

• x = 0, 4

• x =  $\pm2$  

• x =  $\pm4$  

Tags

CCSS.HSA-REI.B.4B

 $2x^2\ -\ 9\ =\ 1$  
Solve this equation by taking the square root.
What are the roots?

• x=  $\pm2$  

• x =  $\pm\sqrt{5}$  

• x =  $\pm5$  

• No real solutions

Tags

CCSS.HSA-REI.B.4B

 $-2x^2\ +\ x\ -\ 5\ =\ 0$  

Solve this equation using any method.