Radical Equations and Extraneous Roots

Question 1

Solve:

Revolt · Accepted Answer

x = 10

Question 2

Solve:

Revolt · Accepted Answer

s = 2 or s = 7

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

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 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 6

Do you agree? Explain why or why not.

Revolt · Accepted Answer

I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.

Question 7

Solve:

Revolt · Accepted Answer

a = 1

Radical Equations and Extraneous Roots Answers

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