Answers

2015-08-28T18:40:10+05:30
x - \frac{1}{x} = 6
x^{2} + \frac{1}{x^{2}} - 2 = 6*6 = 36        [Squaring both sides with (a+b)^{2} formula]
x^{2} + \frac{1}{x^{2}} = 36 + 2 = 38        [Transposition]
x^{4} + \frac{1}{x^{4}} + 2 = 38*38 = 1444         [Squaring again]
x^{4} + \frac{1}{x^{4}} = 1444 - 2 = 1442        [Transposition]

Therefore, answer is 1442.
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