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Step-by-step explanation:
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Answer:
3 and 7
Step-by-step explanation:
Given:
x+ 1/x = √5
=>(x+1/x)² = x²+1/x²+ 2
=>(√5)² = x²+1/x² + 2
=>5-2 = x²+1/x²
therefore,x²+1/x² = 3
and
=>(x²+1/x²)² = x⁴ + 1/x⁴ + 2
=>(3)² = x⁴+1/x⁴ + 2
=>9-2 = x⁴ + 1/x⁴
therefore,x⁴+1/x⁴ = 7
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