Radical Equations and Extraneous Roots Answers

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1
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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
2
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Which of the following is an extraneous solution of ?

Question illustration
A
x = –8
B
x = –2
C
x = 2
D
x = 8
3

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
4

Which of the following is an extraneous solution of ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 6
5

Which equation is related to ?

Question illustration
A
x + 10 = x2 + x + 1
B
x + 10 = x2 + 2x + 1
C
x + 10 = x2 + 1
D
x + 10 = x2 – 1
6

Which equation is equivalent to ?

Question illustration
A
x + 9 = x + 10
B
x + 9 = x2 + 20x + 100
C
x2 + 81 = x2 + 100
D
x2 + 81 = x2 + 20x + 100
7

Which of the following is an extraneous solution of ?

Question illustration
A
x = –12
B
x = –3
C
x = 3
D
x = 12
8

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
9

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

Question illustration
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
10

What is the solution of ?

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

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