Question

if x+1/x=2 then find the value of x⁸+1/x⁸​

Answer 1

But, I don't know the answer..

sorry

Answer 2

Answer:

1154

Step-by-step explanation:

Given, x + 1/x = 2

SQUARING BOTH SIDE .

➨ (x + 1/x)² = (2)²

➨ x² + 1/x² + 2 = 4

➨ x² + 1/x² = 6

SQUARING BOTH SIDE .

➨ (x² + 1/x²)² = (6)²

➨ x⁴ + 1/x⁴ + 2 = 36

➨ x⁴ + 1/x⁴ = 34

SQUARING BOTH SIDE .

➨ (x⁴ + 1/x⁴)² = (34)²

➨ x⁸ + 1/x⁸ + 2 = 1156

➨ x⁸ + 1/x⁸ = 1154

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