AnswersIC Pre-Cal - DeeringSolving Equations Containing Two Radicals

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, x = 11
B
x = –1
C
x = 11
D
no solution
2
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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.
3

Which statement describes how to solve ?

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A
Square both sides and then solve the resulting quadratic equation.
B
Square both sides and then solve the resulting cubic equation.
C
Cube both sides and then solve the resulting quadratic equation.
D
Cube both sides and then solve the resulting cubic equation.
4

Which equation shows a valid, practical step in solving ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

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
6

What is the solution to the equation ?

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A
x = 1
B
x = 6
C
x = 12
D
x = 24
7

What is the solution to the equation ?

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A
m = –24
B
m = –12
C
m = –6
D
m = –4
8

What is the solution to the equation ?

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A
x = –6
B
x = –1
C
x = 1
D
x = 2
9

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
10

Which comparison of the two equations is accurate?Equation A: Equation B:

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A
Both equations have different solutions because the square root of a number is not the same as the cube root of a number.
B
Both equations result in different equations after eliminating the radicals, so they have the different solutions.
C
Both equations have the same potential solutions, but equation A might have extraneous solutions.
D
Both equations have the same potential solutions, but equation B might have extraneous solutions.

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