Radical Equations and Extraneous Roots Answers

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21
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Determine the solution for the following equation:

Question illustration
A
x = 3
B
x = 5
C
x = 13
D
x = 65
22
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Which equation is equivalent to ?

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A
x + 9 = x + 10
B
x + 9 = x2 + 20x + 100
C
x2 + 81 = x2 + 100
D
x2 + 81 = x2 + 20x + 100
23

Which of the following is an extraneous solution of ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 6
24

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
25

Which equation is equivalent to ?

Question illustration
A
x + 11 = 225
B
x + 121 = 225
C
StartRoot x EndRoot = 15 + 11
Option C
D
StartRoot x EndRoot = 15 minus 11
Option D
26

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

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