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Radical Equations Answers

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1
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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.
2
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Which equation is a radical equation?

A
4p = + p
Option A
B
+ x =
Option B
C
– w = –34
Option C
D
5 – =
Option D
3

Which equation is equivalent to = 36?

Question illustration
A
= 3
Option A
B
x + 15 = 9
C
x + 15 = –6
D
= 24
Option D
4

Jacob is solving the equation = 27 for q. His work is shown. = 27 = 9 = 923q = A q = B

Question illustration
A
A = 3B = 1
B
A = 9B = 3
C
A = 18B = 6
D
A = 81B = 27
5

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

Question illustration
A
The solution -1 is an extraneous solution.
B
Both -1 and -6 are true solutions.
C
The solution -6 is an extraneous solution.
D
Neither -1 nor -6 is a true solution to the equation.
6

Narine is solving the equation = 6 for q. Her work is shown. = 6 = 623q = Aq = B

Question illustration
A
A = 6 B = 2
B
A = 9 B = 3
C
A = 12 B = 4
D
A = 36 B = 12
7

Sebastian solved the radical equation y + 1 = but did not check his solution.(y + 1)2 = y2 + 2y + 1 = –2y – 3y2 + 4y + 4 = 0(y + 2)(y + 2) = 0y = –2

Question illustration
A
y = –2
B
y = 1
C
y = 2
D
There are no true solutions to the equation.
8

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.
9

What is the solution to the equation ?

Question illustration
A
p = –6
B
p =
Option B
C
p = –4
D
p =
Option D
10

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.

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