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If x + 1/x = 6, then x 4 + 1/x 4 is?

Correct Answer: 1154

Explanation:

x + 1/x = 6
On squaring both sides, we get
(x + 1/x)2 = (6)2
⇒ x2 + 1/x2 + 2 = 36
⇒ x2 + 1/x2 = 34
On squaring both sides, we get
(x2 + 1/x2)2 = (34)2
⇒ x4 + 1/x4 + 2 = 1156
⇒ x4 + 1/x4 = 1154


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