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Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?

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Take Note: What is a radical equation?
Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.
Take Note: Summarize the process for solving a radical equation.
Take Note: What is a square root equation?
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Take Note: Consider the radical equation
Identify the steps necessary to isolate the variable.
Raise both sides to the
Subtract 4 from each side
Add 4 to each side
Apply
Divide both sides by 2
Multiply both sides by 2
Raise both sides to the 5th power
Step 1
Step 2
Step 3

Problem 1 Got It?
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Take Note: Which step isolates x in the radical equation below?

Problem 2 Got It?
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Problem 3 Got It?
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Take Note: What is an extraneous solution?
Take Note: Are extraneous solutions values that work in the related (aka original) equation?
Take Note: How can you identify extraneous solutions?
Problem 4 Got It? Solve the radical equation. Check your results for extraneous solutions.
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Take Note: How can graphs be used to identify extraneous solutions?
Take Note: Summarize the process for solving an equation containing two radical expressions.

Problem 5 Got It?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: Provide an example of a square root equation that includes only 1 variable.