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Question

If x+1x=4, then the value of x4+1x4 is
  1. 256
  2. 196
  3. 184
  4. 194


Solution

The correct option is D 194
x+1x=4
(x+1x)2=42=x2+1x2+2×x×1x
x2+1x2=14
(x2+1x2)2=142=x4+1x4+2×x2×1x2
x4+1x4=194
 

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