Square Root and Complete the Square

Solve by taking the Square Root:

16a² - 9 = 0

• a = ± ³/₄

• a = ± ⁴/₃

• a = ± ⁹/₁₆

• a = ± ¹⁶/₉

Tags

CCSS.HSA-REI.B.4B

Solve by taking the Square Root:

4m² - 100 = 0

• m = ± 25

• m = 96

• m = ± 5

• m = -96

Tags

CCSS.HSA-REI.B.4B

Solve the equation using square roots:

x² = 121

• x = 60.5

• x = ± 11

• x = ± 12

• x= 11

Tags

CCSS.8.EE.A.2

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial (find "c"):

x² + 6x + ___

• 6

• -6

• 9

• -9

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

n² - 2n - 3 = 0

• n = 3 and -1

• n = 4 and -4

• n = 5 and -3

• n = 8 and -7

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

x² + 10x = -9

• x = 1 and -12

• x = -1 and -9

• x = 1 and -9

• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:

k² − 12k + 20 = 0

• k = 10 and 2

• k = -6 and -6

• k = 22 and -10

• k = -2 and 6

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square (lead number must be 1):

4x² - 32x + 8 = 12

• x = 8.12 & -0.12

• x = 8.12 & 0.12

• x = -8.12 & 0.12

• x = -8.12 & -0.12

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

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

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B