Math Problem Statement
If x + 1/x = 2, find the value of x^2 + 1/x^2.
Solution
The image you uploaded contains the following mathematical problem:
"If , find the value of ."
Solution:
Given the equation , we need to find the value of .
- Start by squaring both sides of the given equation:
- Expanding the left-hand side:
- Simplify:
- Subtract 2 from both sides:
Final Answer:
Would you like further clarification or details on the solution? Here are some related questions that may interest you:
- How do you square binomials?
- What happens if instead of 2?
- Can this method be applied to other equations of similar form?
- How can this result be used in more complex algebraic problems?
- What is the importance of simplifying expressions in algebra?
Tip: Always check if there is a pattern or identity that can simplify your calculations in algebra!
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Math Problem Analysis
Mathematical Concepts
Algebra
Squaring Binomials
Equations
Formulas
(a + b)^2 = a^2 + 2ab + b^2
Theorems
Squaring binomial expressions
Suitable Grade Level
Grades 8-10