AnswersCommon Core Algebra II 2014 - MA3111 CRRadical Equations and Extraneous Roots

Solving Equations Containing Two Radicals Answers

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1
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What is the solution to the equation ?

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A
x = 1
B
x = 6
C
x = 12
D
x = 24
2
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What is the solution to the equation ? Assume the range is all real numbers.

Question illustration
A
x = –6
B
x = 5
C
x = 6, x = –5
D
x = –6, x = 5
3

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Two possible solutions of are –7 and 1. Which statement is true?

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A
Only x = –7 is an extraneous solution.
B
Only x = 1 is an extraneous solution.
C
Both solutions are extraneous.
D
Neither solution is extraneous.
5

What is the solution to the equation ?

Question illustration
A
m = –24
B
m = –12
C
m = –6
D
m = –4
6

What is the solution to the equation ?

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A
x = –1, x = 11
B
x = –1
C
x = 11
D
no solution
7

Which statement describes a process to solve ?

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A
Add a radical term to both sides and square both sides only once.
B
Add a constant term to both sides and square both sides only once.
C
Add a radical term to both sides and square both sides twice.
D
Add a constant term to both sides and square both sides twice.
8

What is the solution to the equation ?

Question illustration
A
x = –6
B
x = –1
C
x = 1
D
x = 2
9

Which of the following occurs within the solution process for ?

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A
squaring both sides once
B
squaring both sides twice
C
cubing both sides once
D
cubing both sides twice
10

What is the solution to the equation ?

Question illustration
A
x = –12
B
x = –4
C
x = 4
D
x = 12

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