Completing Square Method

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Write the following quadratic expression in completed square form...

x² + 10x + 13

• (x + 5)² - 12

• (x + 5)² + 3

• (x + 5)² + 12

• (x + 5)² - 15

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4

• 16

• 64

• -16

Solve the equation by completing the square and finding the roots.

• 3 and -1

• 4 and -4

• 5 and -3

• 8 and -7

• 25

• 20

• 10

• -5

• 5

• -10

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Mr. Jones wants to solve the quadratic equation by completing the square. katex latex="x^2-8x=12" What values will go in the Box A and Box B? Write the values in the boxes.

• Box A = 4

  Box B = 4

• Box A = 16

  Box B = 16

• Box A = 4

  Box B = 16

• Box A = 8

  Box B = 64

• Box A = 8

  Box B = 16

Michael is using the completing the square method to solve a quadratic equation. His first 2 steps are shown Given: 2x^2+20x+10=0 Step 1: x^2+10x+5=0 Step 2: x^2+10x=-5 Fill in the blanks to complete the square in Step 3: Step 3: x² + 10x + ​ (a)   = ​ (b)  

• 25

• 20

• 10

• -5

• 5

• -10

Solve the equation by completing the square:

Mathematical Equivalence

ON

• 25

• 20

• 10

• -5

• 5

• -10