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I've been working on this so long, but I can't get it.

 

If x^2 + 1/x^2 = 3 and x > 0, what is the value of x - 1/x?  Express your answer in simplest radical form.

 Jan 20, 2023
 #1
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\((x - {1\over x})^2 = x^2 - 2 + {1\over x^2} = 3 - 2 = 1\)

\(x - {1\over x} = \pm1\)

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 Jan 20, 2023

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