Solve Quadratics by Square Roots and Completing the Square

Solve by taking square roots:
a² + 9 = 9

• no solution
• a = 0
• a = 3 or -3
• a = 18

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root:

x² = 49

• -7

• 7

• 49

• ±7

Tags

CCSS.HSA-REI.B.4B

x² -4 = 77

• 9

• -9

• No Real Solutions

• ±9

Tags

CCSS.8.EE.A.2

Solve by taking square roots:
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.HSA-REI.B.4B

Solve by taking the square root:

4x² = 100

• ±10

• ±25

• ±5

• 5

Tags

CCSS.HSA-REI.B.4B

2x²=100

• x = ±25

• x = ±√50

• x = ±√100

• x = ±√5

Tags

CCSS.8.EE.A.2

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9
• b = 3, b = -3
• b = 8, b = -8
• no solutionb

Tags

CCSS.HSA-REI.B.4B

Solve for x.
-9p² = -576

• x = 8
• x = 64
• x = 8, -8
• x = 64, -64

Tags

CCSS.8.EE.A.2

Solve for m.
4m² + 10 = 38

• m = 7, -7
• m = 7
• m = √7
• m = √7, -√7

Tags

CCSS.8.EE.A.2

Solve for h.
(h - 2)² = 9

• h = 5, -1
• h = 5, -5
• h = 5
• h = -1

Tags

CCSS.HSA-REI.B.4B