Name
Class
Date
Mrs. Crusey Intro to College Algebra Blizzard Bag # 1
6-5
Solving Square Root and Other Radical Equations
You have solved equations that involve square roots of algebraic expressions. Then you
checked your solutions to see if they are actual solutions or extraneous solutions.
To find the answer to the question at the bottom of the page:
• Solve each equation. Use the space below to show your work.
• Write solutions below each equation. Identify any extraneous solutions.
• Use only the actual solutions that are positive integers to answer the question.
x=V4x-2
jc=V3-2x
x=>/-2jt+48
*
x
=
=
Vll7-4*
yj2x+l
x
=
x
=
x
V90-.
y/6x~^3
=
Vx+72
Actual solutions that are positive integers:
Question: In what year did the first astronaut land on the moon?
The first astronaut landed on the moon in
Prentice Hall Algebra 2 • Activities, Games, and Puzzles
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54
Name
6-5
:
_
Class
Date
Standardized Test Prep
Solving Square Root and Other Radical Equations
Gridded Response
Solve each exercise e
1. What is the solution? V2x - 4 -3 = 1
2. What is the solution? 5^5 -8 = 7
3. What is the solution? V2x - 6 - 3 - x
4. What is the solution? V5x - 3 = V2x + 3
5. Kepler's Third Law of Orbital Motion states that the period P (in Earth years)
it takes a planet to complete one orbit of the sun is a function of the distance
d (in astronomical units, AU) from the planet to the sun. This relationship is
P = d2. If it takes Neptune 165 years to orbit the sun, what is the distance
(in AU) of Neptune from the sun? Round your answer to two decimal places.
^N