AnswersLJISD-TX-Algebra II-5th 6WKSSolving Equations Containing Two Radicals

Solving Equations Containing Two Radicals Answers

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1
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Use the equation How many potential solutions are there?

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Answer:

1

2
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How many extraneous solutions are there?

Answer:

0

3

The solution to the equation is x =

Answer:

3

4

The potential solution of is x =

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Answer:

-3

5

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
6

Which of the following is a valid step in the solution of

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

A potential solution of is .

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Answer:

1/2

8

Which of the following best describes how to solve ?

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A
Square both sides once, then solve the resulting linear equation.
B
Square both sides twice, then solve the resulting linear equation.
C
Square both sides once, then solve the resulting quadratic equation.
D
Square both sides twice, then solve the resulting quadratic equation.
9

Which statement about is true?

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A
x = –4 is an extraneous solution.
B
x = –4 is a true solution.
C
x = 4 is an extraneous solution
D
x = 4 is a true solution.
10

Check all of the following that are a solution of .

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A
–3
B
–1
C
1
D
3
11

After eliminating radicals, what quadratic equation can you solve to find the potential solutions of ? ✔ x² - 2x - 3 = 0x² + 2x + 5 = 0x² - 4x - 3 = 02x² - 4x - 4 = 0

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A
✔ x² - 2x - 3 = 0
B
x² + 2x + 5 = 0
C
x² - 4x - 3 = 0
D
2x² - 4x - 4 = 0
12

What is the solution to the equation ?x =

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Answer:

5

13

Which statement about is true?

Question illustration
A
x = –4 is an extraneous solution.
B
x = –4 is a true solution.
C
x = 4 is an extraneous solution
D
x = 4 is a true solution.
14

What is the solution to the equation ?x =

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Answer:

5

15

What is the solution to the equation ?x =

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Answer:

23

16

Which statement about is true?

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A
–3 is an extraneous solution because solutions can never be negative.
B
–3 is an extraneous solution because substituting it into the original equation gives a false statement.
C
–3 is a valid solution because substituting it into the original equation gives a true statement.
17

Which statement aboutis true?

Question illustration
A
x = 1 is an extraneous solution.
B
x = 1 is a true solution
C
x = 3 is an extraneous solution.
D
x = 3 is a true solution.
18

Which statement about is true?

Question illustration
A
is an extraneous solution.
Option A
B
is a true solution.
Option B
C
x = 2 is an extraneous solution.
Option C
D
x = 2 is a true solution.
Option D
19

What is the solution to the equation ?x =

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Answer:

23

20

Luca solved an equation as shown, and verified that his solution was correct.Explain what Luca’s error is and why his answer is not completely correct.

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Answer:

Luca incorrectly squares the right side: (√(x − 3) + 1)² includes the cross term 2√(x − 3), which he omitted. This causes him to miss the other solution, x = 7. Both x = 3 and x = 7 satisfy the original equation, so his answer is not complete.

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