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24 December, 11:45

If $7=x^2+/frac{1}{x^2}$, then what is the greatest possible value of $x+/frac{1}{x}$?

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  1. 24 December, 14:03
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    Step-by-step explanation:

    7 = x² + 1 / (x²)

    7 + 2 = x² + 2 + 1 / (x²)

    9 = (x + 1/x) ²

    ±3 = x + 1/x
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