Radical Equations Answers

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1
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Solve the radical equation. What is the extraneous solution to the radical equation?

Question illustration
A
1
B
9
C
Both 1 and 9 are extraneous solutions to the equation.
D
There are no extraneous solutions to the equation.
2
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What is the best first step in solving the equation 3 + = 5?

Question illustration
A
Subtract 3 from both sides.
B
Find the cube of .
Option B
C
Cube both sides of the equation.
D
Subtract 5 from both sides.
3

Consider the radical equation = n – 2. Which statement is true about the solutions n = 5 and n = 0?

Question illustration
A
The solution n = 5 is an extraneous solution.
B
Both n = 5 and n = 0 are true solutions.
C
The solution n = 0 is an extraneous solution.
D
Neither are true solutions to the equation.
4

Solve the radical equation.Which is an extraneous solution to the radical equation?

Question illustration
A
x = −1
B
x = 1
C
x = 5
D
There are no extraneous solutions to the equation.
6

Which equation is equivalent to = 36?

Question illustration
A
= 3
Option A
B
x + 15 = 9
C
x + 15 = –6
D
= 24
Option D
7

Consider the radical equation = c + 2. Which statement is true about the solutions c = 3 and c = –6?

Question illustration
A
The solution c = 3 is an extraneous solution.
B
The solution c = –6 is an extraneous solution.
C
Both c = 3 and c = –6 are true solutions.
D
Neither are true solutions to the equation.
9

What is the solution to the equation ?

Question illustration
A
p = –6
B
p =
Option B
C
p = –4
D
p =
Option D

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