ight)^2 = 3^2
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- Solution: We are given that $ x + rac{1}{x} = 3 $. To find $ x^4 + rac{1}{x^4} $, we proceed step by step.
- First, square both sides of the given equation:
- \left( x + rac{1}{x}
- \Rightarrow x^2 + 2 + rac{1}{x^2} = 9
- \Rightarrow x^2 + rac{1}{x^2} = 7
- Next, square this new result to find $ x^4 + rac{1}{x^4} $:
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