
Radical Equations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a radical equation?
Back
An equation that contains a variable within a radical (square root, cube root, etc.).
2.
FLASHCARD QUESTION
Front
How do you solve a radical equation?
Back
Isolate the radical on one side, then square both sides to eliminate the radical, and solve for the variable.
3.
FLASHCARD QUESTION
Front
Why is it important to check your solutions in radical equations?
Back
To ensure that the solutions do not produce extraneous results, which are false solutions introduced during the squaring process.
4.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
A solution that emerges from the process of solving an equation but does not satisfy the original equation.
5.
FLASHCARD QUESTION
Front
Solve: √(x + 5) = 7. What is x?
Back
x = 44.
6.
FLASHCARD QUESTION
Front
Solve: √(2x - 3) = 5. What is x?
Back
x = 4.
7.
FLASHCARD QUESTION
Front
Solve: √(x - 1) + 3 = 6. What is x?
Back
x = 10.
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