AnswersFL-1200700-Mathematics for College Algebra MISRadical Equations and Extraneous Roots

Radical Equations and Extraneous Roots Answers

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21
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What is the solution of ?

Question illustration
A
x = 6
B
x = 72
C
x = 126
D
no solution
22
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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
23

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
24

Which of the following is an extraneous solution of ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 6
25

Which of the following is an extraneous solution of ?

Question illustration
A
x = –8
B
x = –2
C
x = 2
D
x = 8
26

What is the solution of ?

Question illustration
A
x = 2
B
x = 3
C
x = 2 or x = 3
D
no solution
27

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is . What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Question illustration
A
11.5 feet
B
13.1 feet
C
14.6 feet
D
15.4 feet
28

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

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