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Answer:
Step-by-step explanation:
x - 1/x = 4
x⁴ + 1/x⁴ = (x²)² + (1/x²)²
= (x² + 1/x²)² - 2(x²)(1/x²) //a² + b² = (a + b)² - 2ab
= [(x - 1/x)² - 2(x)(1/x)]² - 2 //a² + b² = (a - b)² + 2ab
= (4² - 2)² - 2
= (16 -2)² - 2
= 14² - 2
= 196 - 2
= 194.
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