Solving Quadratic Equations by Completing the Square

Solve the quadratic Equation by completing the square: \left(x+1\right)^2=9

Answer explanation

 $\left(x+1\right)^2=9$  
 $\sqrt{\left(x+1\right)^2}=\sqrt{9}$  
 $x+1=\pm3$  
 $x=3-1=2$ 
 $x=-3-1=-4$  

Tags

CCSS.HSA-REI.B.4B

Answer explanation

 $x^2+12x+\left(\frac{12}{2}\right)^2-\left(\frac{12}{2}\right)^2$   $x^2+12x+36-36$ 
  $\left(x+6\right)^2-36$  

Answer explanation

 $x^2-6x+\left(\frac{-6}{2}\right)^2-\left(\frac{-6}{2}\right)^2+1$   $x^2-6x+9-9+1$ 
  $\left(x-3\right)^2-8$  

Answer explanation

 $x^2+3x+\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^2-2$   $x^2+3x+\frac{9}{4}-\frac{9}{4}-2$ 
  $\left(x+\frac{3}{2}\right)^2-\frac{17}{4}$  

Solve the following quadratics equation by completing the square...

x² - 12x + 31 = 0

• x = -6 ± √5

• x = 6 ± √5

• x = 5 ± √6

• x = -5 ± √6

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 2x - 5 = 0

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

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

Complete the Square
x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
y² + 10y = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13

• 136

• 169

• 26

Tags

CCSS.HSA-REI.B.4B