\left( x^2 + rac{1}{x^2}

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• \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} $:
• ight)^2 = 7^2
• \Rightarrow x^4 + 2 + rac{1}{x^4} = 49
• \Rightarrow x^4 + rac{1}{x^4} = 47

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