A1 - Solving Quadratics by Completing the Square

• 88
• 2
• 6

b

c

119

81

100

10

20

-10

What is the first step to solving THIS equation by completing the square?
a² + 10a - 11 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Add 11 to both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

What would you need to add to each side of the equation to complete the square?
a² + 10a - 11 = 0

• 25

• 100

• 20

• 5

Write the following equation in completed square form.

a² + 10a - 11 = 0

Solve the quadratic equation by completing the square. Round to the nearest tenth if necessary.

a² + 10a - 11 = 0

• a = 1, -1

• a = 1, -11

• a = 31, -31

• a = -1.7, -8.3

Solve the quadratic equation by completing the square. Round to the nearest tenth when necessary.

x² + 6x = 5

• x = -0.8, -5.2

• x = 3, -9

• x = 0.7, -6.7

• x = -2.3, -9.7

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

Solve the following quadratic equation by completing the square. Round your answer to the nearest tenth when necessary.

x² - 10x - 5 = 0

• x = 0.5, -10.5

• x = 10.5, -0.5

• x = 7.2, 2.8

• x = -2.8, -7.2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

x² + 6x - 3 = 0

• x = 0.5, -6.5

• x = 6.5, -0.5

• x = 13.7, 10.3

• x = -2.5, -9.5

Tags

CCSS.HSA.REI.B.4