Question
If x 4 + 1/x 4 = 194, x > 0, then
find the value of x + 1/x + 2.Solution
Since, x 4 + 1/x 4 = 194
So, x 2 + 1/x 2 = √(194 + 2) = 14
Or, x + 1/x = √(14 + 2) = 4
So, x + 1/x + 2 = 4 + 2 = 6
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