AnswersNC-Math 2 Fall 2nd 9 WeeksRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots Answers

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1
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Which equation can be rewritten as x + 4 = x2? Assume

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A
StartRoot x EndRoot + 2 = x
Option A
B
StartRoot x + 2 EndRoot = x
Option B
C
StartRoot x + 4 EndRoot = x
Option C
D
StartRoot x squared + 16 EndRoot = x
Option D
2
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What is the solution of ?

Question illustration
A
x = twelve-fifths
Option A
B
x = negative twelve-fifths
Option B
C
x = –6 or x = –3
D
no solution
4

Which of the following is an extraneous solution of ?

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A
x = –6
B
x = –1
C
x = 1
D
x = 6
5

What is the solution of ?

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A
x = –72
B
x = –66
C
x = 58
D
no solution
6

What is the solution of ?

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A
x = 6
B
x = 72
C
x = 126
D
no solution
7

What is the solution of ?

Question illustration
A
x = –8 or x = –1
B
x = –8
C
x = –1
D
no solution
8

Which of the following is an extraneous solution of ?

Question illustration
A
x = –8
B
x = –2
C
x = 2
D
x = 8
9

Determine the solution for the following equation:

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A
x = 3
B
x = 5
C
x = 13
D
x = 65
10

Which equation is related to ?

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A
x + 10 = x2 + x + 1
B
x + 10 = x2 + 2x + 1
C
x + 10 = x2 + 1
D
x + 10 = x2 – 1
11

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
12

Which of the following is a radical equation?

A
x + StartRoot 5 EndRoot = 12
Option A
B
x squared = 16
Option B
C
3 + x StartRoot 7 EndRoot = 13
Option C
D
7 StartRoot x EndRoot = 14
Option D
13

Which of the following is a radical equation?

A
x StartRoot 3 EndRoot = 13
Option A
B
x + StartRoot 3 EndRoot = 13
Option B
C
StartRoot x EndRoot + 3 = 13
Option C
D
x + 3 = StartRoot 13 EndRoot
Option D
14

Which of the following is an extraneous solution of ?

Question illustration
A
x = –12
B
x = –3
C
x = 3
D
x = 12

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