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x – 1/x = 5√2
On squaring both sides, we get
(x – 1/x )2 = (5√2)2
Or, x2 + 1/x2 - 2 = 25 X 2
Or, x2 + 1/ x2 = 50 + 2
Or, x2 + 1/x2 = 52
On squaring both sides again, we get
x4 + 1/ x4 + 2 = 2704
Or, x4 + 1/ x4 = 2702
So, (x4 + 1/ x4) ÷ 1351= 2702 ÷ 1351 = 2
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