Solving Equations by Square Root Property
Flashcard
•
Mathematics
•
7th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Square Root Property?
Back
The Square Root Property states that if x² = a, then x = ±√a. This means that the solutions to the equation can be both positive and negative square roots.
2.
FLASHCARD QUESTION
Front
Solve x² = 49
Back
x = 7 or x = -7
3.
FLASHCARD QUESTION
Front
What does it mean if an equation has two solutions?
Back
It means that there are two distinct values of x that satisfy the equation.
4.
FLASHCARD QUESTION
Front
Solve x² - 16 = 0
Back
x = 4 or x = -4
5.
FLASHCARD QUESTION
Front
What is the first step in solving an equation using the Square Root Property?
Back
Isolate the x² term on one side of the equation.
6.
FLASHCARD QUESTION
Front
Solve 3(x + 2)² = 75
Back
x = 3 or x = -7
7.
FLASHCARD QUESTION
Front
How do you determine the number of solutions for x² = a?
Back
If a > 0, there are 2 solutions; if a = 0, there is 1 solution; if a < 0, there are no real solutions.
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