if x² + 1 / ₓ² = 9 then find the value of x⁴ + 1/ ₓ⁴
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Answer:
x⁴+1/x⁴ = 79
Step-by-step explanation:
x²+1/x² = 9
=> (x²+1/x²)² = 9²
=> x⁴+1/x⁴+2.x².1/x² = 81
=> x⁴+1/x⁴+2 = 81
=> x⁴+1/x⁴ = 81-2
=> x⁴+1/x⁴ = 79
using formula (x+y)² = x²+y²+2xy
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