Square Root & 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.4

Solve by taking the Square Root:

4m² - 100 = 0

• m = ± 25

• m = 96

• m = ± 5

• m = -96

Tags

CCSS.HSA.REI.B.4

Solve for x by taking the Square Root:

(x+6)² = 49

• x = 7 and 12

• x = ±7

• x = 1 and -13

• x = 43 and -55

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve the equation using square roots:

x² = 121

• x = 60.5

• x = ± 11

• x = ± 12

• x= 11

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

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.SSE.A.2

CCSS.HSA.SSE.B.3

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

x² + 6x + ___

• 6

• -6

• 9

• -9

Tags

CCSS.HSA.SSE.A.2

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.APR.B.3

CCSS.HSA.REI.B.4

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.4

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.4

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.4