Solving Quadratic Equations

 Simplify the radical expression.

 $\sqrt{56}$ 

•  $4\sqrt{14}$  
  

•  $2\sqrt{14}$  
  

•  $2\sqrt{27}$  
  

•  $4\sqrt{7}$  
  

Simplify the radical expression: 
 $\sqrt{32a^9}$  

•  $2a^4\sqrt{4a}$  

•  $a^4\sqrt{32a}$  

•  $4a^4\sqrt{2a}$  

•  $4a^4\sqrt{2a^5}$  

 Simplify the radical expression:

 $\sqrt{8x^3y^3}$ 

•  $2xy\sqrt{2xy}$  

•  $2x^2y^2\sqrt{xy}$  

•  $4xy\sqrt{xy}$  

•  $4x^2y^2\sqrt{2xy}$  

How many solutions does the related quadratic equation have?

• Two Solutions

• One Solution

• 0 Solutions

• I don't know

What are the solutions of the related equation?

• x = -2 and x = 3

• x = -1/2 and x = -6

• x = -2 and x = -6

• x = 3 and x = -6

Solve for the values of x:
(x + 2)(x - 3) = 0

• { 2, 3 }
• { -2, -3 }
• { 2, 3 }
• { -2, 3 }

Solve by factoring.

 $2n^2+4n-16=0$  

• n = -4, n = 2

• n = -2, n = 4

• n = -16

• n = -4

Solve by factoring.

 $3x^2-6x=0$  

• x = 3, x = -6

• x = 0, x = 2

• x = 2, x = 3

• x = -2, x = 1

Solve using square roots.

 $m^2+7=88$  

• m = ± 81

• m = ± 9

• m = ± 3

• No real solutions

Solve using square roots.

 $-5x^2=-50$  

• x = ± 5

• x = ± 10

• x = ± √10

• x = -10