if 1+1/x=3 find the value of x⁴+1/x⁴
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Answered by
1
Answer:
x⁴+1/x⁴ = 47
Step-by-step explanation:
x+1/x = 3
=> (x+1/x)² = 3²
=> x²+1/x²+2*x*1/x = 9
=> x²+1/x²+2 = 9
=> x²+1/x² = 9-2
=> x²+1/x² = 7
=> (x²+1/x²)² = 7²
=> x⁴+1/x⁴+2*x²*1/x² = 49
=> x⁴+1/x⁴+2 = 49
=> x⁴+1/x⁴ = 49-2
=> x⁴+1/x⁴ = 47
using formula : (x+y) = x²+y²+2xy
Answered by
2
Answer:
Step-by-step explanation:
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