Solve Radical Equations

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a radical equation?
Back
A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).
2.
FLASHCARD QUESTION
Front
How do you isolate a radical in an equation?
Back
To isolate a radical, you can move all other terms to the opposite side of the equation and simplify.
3.
FLASHCARD QUESTION
Front
Back
The first step is to eliminate the fraction by multiplying both sides by the denominator.
4.
FLASHCARD QUESTION
Front
What is the principle of squaring both sides of an equation?
Back
Squaring both sides of an equation can eliminate a square root, but it may introduce extraneous solutions that must be checked.
5.
FLASHCARD QUESTION
Front
What does it mean to check your solution in a radical equation?
Back
Checking your solution means substituting it back into the original equation to ensure it satisfies the equation.
6.
FLASHCARD QUESTION
Front
Back
x = 0.5.
7.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that emerges from the process of solving the equation but does not satisfy the original equation.
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