if x+1/x=12 , find the value of x⁴+1/x⁴
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Answer:
x+1/x = 12
(x+1/x)² = x²+1/x²+2
(12)² = x²+1/x²+2
144-2 = x²+1/x² => 142
(x²+1/x²)² = x⁴+1/x⁴+2
(142)² = x⁴+1/x⁴+2
20164-2 = x⁴+1/x⁴
20162 = x⁴+1/x⁴
hope this helps
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