x²+ 1/x²=62, then the value of x⁴+ 1/x⁴
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Step-by-step explanation:
x⁴+ 1/x⁴
= (x²)²+(1/x²)²
= (x²+1/x²)²-2 x² 1/x²
= (62)² - 2
= 3844 -2
= 3842
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