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then
(x-1/x)²=7²,
x²+1/x² -2=49,
x²+1/x² =51
therefore
(x²+1/x²)² =(51)²,
x⁴+1/x⁴+2=(51)²,
then
x⁴+1/x⁴ =2601-2=2599