Question

if x =(4−√15) find the value of (x+1/x)​

Answer 1

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Answer 2

$x = (4 - \sqrt{15} ) \\ \frac{1}{x} = \frac{1}{(4 - \sqrt{15} ) } \\ \frac{1}{x} = \frac{1}{(4 - \sqrt{15} ) } \times \frac{(4 + \sqrt{15} )}{(4 + \sqrt{15} )} \\ \frac{1}{x} = \frac{4 + \sqrt{15} }{1}$

Now,

$x + \frac{1}{x} = 4 - \sqrt{15} + 4 + \sqrt{15} = 8$