if x²+1/x²=4 find x⁴+1/x⁴
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Answer:
x²+1/x²=4
Squaring both sides,
(x²+1/x²)=4²
(x²)²+(1/x²)²+2×x×1/x=16
x⁴+1/x⁴+2=16
x⁴+1/x⁴=16-2
x⁴+1/x⁴=14
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