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CUET
General Test
Quantitative Reasoning
Algebra
If x4 + \(\frac{1}{x^4}\) = 106274
Find x - \(\frac{1}{x}\) + 5
22
23
24
25
x4 + \(\frac{1}{x^4}\) = 106274
x2 + \(\frac{1}{x^2}\) = \(\sqrt {106274 + 2}\) = 326
So, x - \(\frac{1}{x}\) = \(\sqrt {326 - 2}\) +5 = 18 +5 = 23