AnswersAlgebra III ASolving Quadratic Equations: Completing the Square (Continued)

Solving Quadratic Equations: Completing the Square (Continued) Answers

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Add 4Add 16Subtract 4Subtract 16

A
Add 4
B
Add 16
C
Subtract 4
D
Subtract 16
82206

–2–125

A
–2
B
–1
C
2
D
5
82207

Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply.18 + 81 = 9(x2 + 6x + 9)18 + 9 = 9(x2 + 6x + 9)18 + 36 = 9(x2 + 6x + 36)11 = (x + 3)2 StartRoot 342 EndRoot = (x + 6)2 StartRoot 99 EndRoot = (x + 3)2

A
18 + 81 = 9(x2 + 6x + 9)
B
18 + 9 = 9(x2 + 6x + 9)
C
18 + 36 = 9(x2 + 6x + 36)
D
11 = (x + 3)2
E
= (x + 6)2
F
= (x + 3)2
82210

Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply.3 = 5(x2 + 2x)3 = 5x2 – 10x4 = 5(x2 – 2x + 1)8 = 5(x2 – 2x + 1)3 = 5(x – 1)24 = 5(x – 1)2 StartFraction 8 Over 5 EndFraction = (x – 1)2

A
3 = 5(x2 + 2x)
B
3 = 5x2 – 10x
C
4 = 5(x2 – 2x + 1)
D
8 = 5(x2 – 2x + 1)
E
3 = 5(x – 1)2
F
4 = 5(x – 1)2
G
= (x – 1)2
82211

What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?

A
x = –2 + or x = –2 –
B
x = 2 + or x = 2 –
C
x = –2 + or x = –2 –
D
x = 2 + or x = 2 –

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