Radical Equations and Extraneous Roots

Question 1

Solve:

Revolt · Accepted Answer

x = –4 or x = 4

Question 2

Solve:

Revolt · Accepted Answer

s = 2 or s = 7

Question 3

Solve:

Revolt · Accepted Answer

x = 10

Question 4

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

0.155 km

Question 5

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 6

In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is t = 2 (StartFraction 2 h Over 32 EndFraction) Superscript one-half , where t is the time in seconds, and h is the height of the jump, in feet. Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

Revolt · Accepted Answer

8

Question 7

Do you agree with the student? Explain why or why not.

Revolt · Accepted Answer

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

Question 8

Solve:

Revolt · Accepted Answer

a = 1

Radical Equations and Extraneous Roots Answers

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