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05-04-2020
Mathematics

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

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MathPhys MathPhys

05-04-2020

Answer:

3

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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