What is a square root equation?
A2 Solving Square Root Equations

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•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A square root equation is an equation that involves a variable under a square root, typically in the form √x = a.
2.
FLASHCARD QUESTION
Front
How do you isolate the square root in an equation?
Back
To isolate the square root, you can move all other terms to the opposite side of the equation.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation √x = 5?
Back
Square both sides of the equation to eliminate the square root: x = 5².
4.
FLASHCARD QUESTION
Front
What is the solution to the equation √x = 5?
Back
x = 25.
5.
FLASHCARD QUESTION
Front
What does it mean if a square root equation has no solution?
Back
It means that there are no real numbers that satisfy the equation, often occurring when a negative number is under the square root.
6.
FLASHCARD QUESTION
Front
How do you check if your solution to a square root equation is correct?
Back
Substitute the solution back into the original equation to see if both sides are equal.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation √(x + 4) = 2?
Back
x = 0.
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