4.9: Solving Quadratics by Completing the Square/Square Root

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

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-12x+20=0$  

•  $x=\left\{2,\ 10\right\}$  

•  $x=\left\{-10,\ -2\right\}$  

•  $x=\left\{-12,\ 20\right\}$  

•  $x=\left\{12,\ 20\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-6x-27=0$  

•  $x=\left\{-9,\ -3\right\}$  

•  $x=\left\{-3,\ 9\right\}$  

•  $x=\left\{-9,\ 3\right\}$  

•  $x=\left\{3,\ 9\right\}$  

Tags

CCSS.HSA-REI.B.4B

 $13x^2-18x-84=-8-3x+12x^2$  

•  $\left\{19,-4\right\}$  

•  $\left\{\frac{-5+i\sqrt{479}}{2},\frac{-5-i\sqrt{479}}{2}\right\}$  

•  $\left\{14,-9\right\}$  

•  $\left\{-5+i\sqrt{101},-5-i\sqrt{101}\right\}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

 $x^2-5=-10$  

•  $2\sqrt{11}$  

•  $\pm2\sqrt{11}$  

•  $\pm i\sqrt{5}$  

•  $\pm4$  

Tags

CCSS.HSA-REI.B.4B

 $-v^2=8$  

•  $\pm23$  

•  $\pm\sqrt{29}$  

•  $\pm2i\sqrt{2}$  

•  $2i\sqrt{2}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve:  $k^2=16$  

•  $k=-4$  

•  $k=4$  and  $k=-4$  

•  $k=4$  

• No solution

Tags

CCSS.8.EE.A.2