[tex]| \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2} = x + \frac{1}{x} - 2 \\ or \: | \sqrt{x} + \frac{1}{ \sqrt{x} } | ^{2} = x + \frac{1}{x} + 2 = 5 \\ = > \: x + \frac{1}{x } = 3 \\ donc \: | \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2} = 3 - 2 = 1 \\ ainsi \: \sqrt{| \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2}} = | \sqrt{x} - \frac{1}{ \sqrt{x} } | = 1[/tex]
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[tex]| \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2} = x + \frac{1}{x} - 2 \\ or \: | \sqrt{x} + \frac{1}{ \sqrt{x} } | ^{2} = x + \frac{1}{x} + 2 = 5 \\ = > \: x + \frac{1}{x } = 3 \\ donc \: | \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2} = 3 - 2 = 1 \\ ainsi \: \sqrt{| \sqrt{x} - \frac{1}{ \sqrt{x} } | ^{2}} = | \sqrt{x} - \frac{1}{ \sqrt{x} } | = 1[/tex]