Solving Quadratics by Square Roots and Factoring

Solve for x.
-9p² = -576

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Solve using square roots.

• √3
• ±√3
• -3
• No real solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve for x

3x² - 27 = 0

• x = 4.9, -4.9

• x = 9, -9

• x = 3, -3

• No solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

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

3x² - 1 = 14

• 5
• -√5
• -√5, √5
• √5

Tags

CCSS.HSA.REI.B.4

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the first step in solving this equation?

4(x+9)²=24

• Divide by 4 on both sides

• Distribute the 4

• Take the square root of both sides

• Subtract 9 from both sides

Solve for x: 
(x+6)²=49

• x=7,12
• x=±7
• x=1,-13
• x=43,-55

Tags

CCSS.HSA.REI.B.4

•  x = 6.12, x = -2.12

•  x = 4.12

•  x = 4.12, x= -4.12

• x = 6.12, x = -6.12