Completing the Square

Solve by completing the square.
 $x^2-8x-20=0$  

•  $x=\left\{-2,\ 10\right\}$  

•  $x=\left\{-10,\ 2\right\}$  

•  $x=\left\{-20,\ -8\right\}$  

•  $x=\left\{8,\ 20\right\}$  

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.
 $x^2-4x-20=0$  

•  $x=\left\{\pm6\sqrt{2}-2\right\}$  

•  $x=\left\{\pm6\sqrt{2}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}+2\right\}$  

•  $x=\left\{\pm2\sqrt{6}-2\right\}$  

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

Solve by completing the square.
 $x^2-14x-15=0$  

•  $x=\left\{1,\ 15\right\}$  

•  $x=\left\{-15,\ -1\right\}$  

•  $x=\left\{-15,\ 1\right\}$  

•  $x=\left\{-1,\ 15\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-6x-59=0$  

•  $x=\left\{\pm2\sqrt{17}+3\right\}$  

•  $x=\left\{\pm17\sqrt{2}+3\right\}$  

•  $x=\left\{\pm2\sqrt{17}-3\right\}$  

•  $x=\left\{\pm17\sqrt{2}-3\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-4x-5=0$  

•  $x=\left\{-5,\ 1\right\}$  

•  $x=\left\{-1,\ 5\right\}$  

•  $x=\left\{-5,\ -1\right\}$  

•  $x=\left\{1,\ 5\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-4x-21=0$  

•  $x=\left\{-7,\ 3\right\}$  

•  $x=\left\{3,\ 7\right\}$  

•  $x=\left\{-3,\ 7\right\}$  

•  $x=\left\{-7,\ -3\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-16x+48=0$  

•  $x=\left\{-12,\ 4\right\}$  

•  $x=\left\{-12,\ -4\right\}$  

•  $x=\left\{-4,\ 12\right\}$  

•  $x=\left\{4,\ 12\right\}$  

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-8x-14=0$  

•  $x=\left\{\pm\sqrt{30}+4\right\}$  

•  $x=\left\{\pm\sqrt{4}+30\right\}$  

•  $x=\left\{\sqrt{30}+4\right\}$  

•  $x=\left\{\sqrt{30}-4\right\}$  

Tags

CCSS.HSA-REI.B.4B