f+(1/f)=16 find f^4+(1/f^4)f+(1/f)=16 find f^4+(1/f^4)
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f+1/f = 16,
then ,(f+1/f)²= f²+1/f²+2
= f²+ 1/f² = 16²-2 = 256-2 = 254
now ,( f²+ 1/f² )² = f⁴ + 1/f⁴ +2
= f⁴+ 1/f⁴ =( 254)²-2 = 64516 -2 = 64514
then ,(f+1/f)²= f²+1/f²+2
= f²+ 1/f² = 16²-2 = 256-2 = 254
now ,( f²+ 1/f² )² = f⁴ + 1/f⁴ +2
= f⁴+ 1/f⁴ =( 254)²-2 = 64516 -2 = 64514
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