Solving Quadratics with Square Roots

Pick which equation I can use square roots to solve:

• 3x² + 2x + 1 = 0

• 3x² -27 = 0

• 3x² + 2x = 1

• 4x + 10 = 0

x² + 4 = 68

• ± 8
• ± √8
• 8
• ± 64

Tags

CCSS.8.EE.A.2

7x² + 1 = 8

• ± 1
• ± 7
• ± √7
• ± 8

Tags

CCSS.8.EE.A.2

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

(x - 2) ² = 9

• ± 3
• 5  or  -1
• -5  or  1
• ± 9

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

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.8.EE.A.2

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

If the graph of a quadratic function does not intercept the x axis, then it has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

Solve

2y² - 5 = 93

• y = 7

• y = ±7

• y = 24.5

• y = ±24.5