Math Problem Statement
Solve s^2 - 9 = 0.
Solution
The problem in the image is:
Step-by-Step Solution:
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Isolate :
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Take the square root of both sides:
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Simplify the square root:
Answer:
Would you like a deeper explanation or have any questions?
Here are five related questions to explore:
- How do you solve equations involving higher powers like ?
- What happens when there is a negative number inside the square root, such as ?
- How can you check if the solutions to are correct?
- What are the properties of the square root function that make valid solutions?
- How would the solution change if it was with being a constant?
Tip: Always remember that when you take the square root of a squared term, you must consider both the positive and negative solutions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Root
Quadratic Equations
Formulas
s^2 = 9 => s = ±√9
Theorems
Square Root Property
Suitable Grade Level
Grades 8-10