Math Problem Statement
Solve x^2 = 121 and x^2 = 64
Solution
The homework asks you to solve two equations:
Solution for :
To solve for , take the square root of both sides: So, the solutions are and .
Solution for :
Similarly, take the square root of both sides: So, the solutions are and .
Would you like further details on the method or have any additional questions?
Here are some related questions to explore:
- What is the general method for solving quadratic equations like ?
- How do we know when to include both positive and negative solutions?
- Can you solve equations like ? Why or why not?
- What happens if the equation is ?
- How can you apply this technique to more complex equations?
Tip: Always remember that for equations involving squares, there are typically two solutions—one positive and one negative—unless the equation equals zero.
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Roots
Quadratic Equations
Formulas
x^2 = c → x = ±√c
Theorems
Square Root Theorem
Suitable Grade Level
Grades 6-8