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CUET
General Test
Quantitative Reasoning
Algebra
If x4 + \(\frac{1}{x^4}\) = 6887
Find x - \(\frac{1}{x}\)
12
15
9
8
x4 + \(\frac{1}{x^4}\) = 6887
x2 + \(\frac{1}{x^2}\) = \(\sqrt {6887 + 2}\) = 83
So, x - \(\frac{1}{x}\) = \(\sqrt {83 - 2}\) = 9