Completing The Square

What is the first step to solving THIS equation by completing the square?

x² + 10x + 21 = 0

• Take the square root of both sides

• Divide 10 by 2 and add the result to both sides

• Add x² and 10x together

• Subtract the 21

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

• 4

• 2

• 8

• 20

• -2

What value of c would make this a perfect sqaure trinomial?

x² +8x + c

• 4

• 16

• 64

• -16

• 8

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.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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.A.1

CCSS.HSA.REI.B.4

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.4

Which of the following will you have to do first when completing the square?

• 
  

  $add\ \left(\frac{b}{2}\right)^{2\ }to\ both\ sides\ of\ the\ equation$

• take the square root of both sides

• Divide every term by a if a is not already 1

• Move the constant over to one side of the equation

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Create a Perfect Square Trinomial
x² + 22x + ____

• 11
• - 11
• 121
• -121

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3