Solving Quadratics by the Square Root Method

Solve by taking square roots:
5m² + 1 = 6

• m = 0
• m = 1 or -1
• m = √7
• m = 7/5 m = -7/5

Tags

CCSS.HSA-REI.B.4B

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 by taking square roots:
3 + 9r² = 12

• r = 0
• no solution
• r = 3, r = -3
• r = 1, r = -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve using square roots.

• ±72
• ±12
• 12
• No real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by taking square roots:
k² - 6 = 43

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

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

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

What are the solutions?

• 0 and 8
• -2 and -4
• 3 and -1
• 2 and 4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve for x     x² - 4 = 76

• x = 4 , -4
• x = 4√5    ,  -4√5
• x = 80   ,  x = -80
• x = 5√4    or    -5√4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4