Solving Radical Equations with some Extraneous solutions

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.
2.
FLASHCARD QUESTION
Front
How do you identify extraneous solutions in radical equations?
Back
To identify extraneous solutions, substitute the potential solutions back into the original equation to see if they hold true.
3.
FLASHCARD QUESTION
Front
What is the first step in solving a radical equation?
Back
Isolate the radical expression on one side of the equation.
4.
FLASHCARD QUESTION
Front
What happens when you square both sides of a radical equation?
Back
Squaring both sides eliminates the radical but may introduce extraneous solutions.
5.
FLASHCARD QUESTION
Front
Solve the radical equation: √(x + 4) = 6
Back
x = 32.
6.
FLASHCARD QUESTION
Front
Solve the radical equation: √(2x - 1) = 3
Back
x = 5.
7.
FLASHCARD QUESTION
Front
What is the importance of checking solutions in radical equations?
Back
Checking solutions ensures that they are valid and not extraneous.
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