Solving Square Root Equations
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a square root equation?
Back
An equation that involves a variable under a square root, typically in the form of √x = a.
2.
FLASHCARD QUESTION
Front
How do you isolate the square root in an equation?
Back
To isolate the square root, move all other terms to the opposite side of the equation.
3.
FLASHCARD QUESTION
Front
What is the first step in solving a square root equation?
Back
Square both sides of the equation to eliminate the square root.
4.
FLASHCARD QUESTION
Front
What does it mean if a square root equation has two solutions?
Back
It means that there are two values of the variable that satisfy the equation.
5.
FLASHCARD QUESTION
Front
What is an extraneous solution?
Back
An extraneous solution is a solution that does not satisfy the original equation after checking.
6.
FLASHCARD QUESTION
Front
How can you check if a solution is valid for a square root equation?
Back
Substitute the solution back into the original equation to see if it holds true.
7.
FLASHCARD QUESTION
Front
What is the significance of negative solutions in square root equations?
Back
Negative solutions may arise from squaring both sides, but they must be checked against the original equation.
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