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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