Solving Quadratic Equations Using Square Roots

Solve by taking square roots:

5m² + 1 = 6

• m = 1

• m = 1 or -1

• m = √7

• m = 7/5 m = -7/5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve using square roots.

k² - 6 = 43

• k = √37

• k = 37 or - 37

• k = 7, k = -7

• no real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve using square roots.

5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no real solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve using square roots.
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.HSA.REI.B.4

Solve by taking square roots.

x² - 49 = 0

• x = -7, x = 7

• x = -7

• x = 7

• x = -7, x = 1

Tags

CCSS.HSA.REI.B.4

Solve by taking square roots.

x² +12 = 5

• x = ± 49

• No Real Solutions

• x = ± √7

• x = ± 5/12

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve the equation using square roots.
x² = 121

• 60.5
• ± 11
• ± 12
• 11

Tags

CCSS.8.EE.A.2

Use the square root property to solve the Quadratic Equation.

x² = -49

• ± 7

• -7

• ± 2401

• no real solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2