Radical Equations and Extraneous Roots

Question 1

Solve: x = –4x = 4x = –4 or x = 4no real solution

Revolt · Accepted Answer

C: x = –4 or x = 4

Question 2

Question 2

Revolt · Accepted Answer

B: x = 10

Question 3

The speed that a tsunami (tidal wave) can travel is modeled by the equationwhere S is the speed in kilometers per hour, and d is the average depth of the water in kilometers.A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?

Revolt · Accepted Answer

C: 0.155 km

Question 4

The formula gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet.To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 for . ft

Revolt · Accepted Answer

3

Question 5

[___] in.

Revolt · Accepted Answer

9

Question 6

Do you agree with the student? Explain why or why not.I do not agree with the student because there is no real solution.Checking the solutions in the original equation verifies ; however, is extraneous.Checking the solutions in the original equation shows that 6 is an extraneous solution.I agree with the student because both and satisfy the original equation.

Revolt · Accepted Answer

B: Checking the solutions in the original equation verifies ; however, is extraneous.

Question 7

Solve:

Revolt · Accepted Answer

C: x = –4 or x = 4

Question 8

Solve:

Revolt · Accepted Answer

B: x = 10

Question 9

The speed that a tsunami (tidal wave) can travel is modeled by the equationwhere S is the speed in kilometers per hour, and d is the average depth of the water in kilometers.A tsunami is traveling at 140 km/hr. What is the approximate average depth of the water?

Revolt · Accepted Answer

C: 0.155 km

Question 10

The formula gives the time it takes in seconds, T, for a pendulum to make one full swing back and forth, where L is the length of the pendulum, in feet.To the nearest foot, what is the length of a pendulum that makes one full swing in 1.9 s? Use 3.14 for . ft

Revolt · Accepted Answer

3

Radical Equations and Extraneous Roots Answers

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