If x² + 1/x² =11, find the value of a) x- 1/x b) x⁴ + 1/x⁴ please give full and correct answer
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Answer:
x⁴+1/x⁴ = 23679
Step-by-step explanation:
x + 1/x = 11
=> (x + 1/x)² = (11)²
=> x²+1/x²+2 = 121
=> x²+1/x² = 121-2
=> x²+1/x² = 119
=> (x²+1/x²)² = (119)²
=> x⁴+1/x⁴+2 = 23681
=> x⁴+1/x⁴ = 23681-2
=> x⁴+1/x⁴ = 23679
Hope it helped You !
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