What is a radical equation?
Radical Equations

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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
Back
Square both sides to eliminate the radicals: \(3x + 12 = x + 8\). Then, solve for x to find \(x = -2\).
3.
FLASHCARD QUESTION
Front
Back
The domain is \([1, \infty)\) because the expression under the square root must be non-negative.
4.
FLASHCARD QUESTION
Front
Back
The range is \([0, \infty)\) because the output of a square root function is always non-negative.
5.
FLASHCARD QUESTION
Front
How do you find the domain of a radical function?
Back
Set the expression inside the radical greater than or equal to zero and solve for x.
6.
FLASHCARD QUESTION
Front
What does the symbol ( ) indicate in interval notation?
Back
It indicates that the endpoint is not included in the interval.
7.
FLASHCARD QUESTION
Front
What does the symbol [ ] indicate in interval notation?
Back
It indicates that the endpoint is included in the interval.
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