已知a+1/a=3,求a^4+1/a^4的值

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已知a+1/a=3,求a^4+1/a^4的值已知a+1/a=3,求a^4+1/a^4的值已知a+1/a=3,求a^4+1/a^4的值a^4+1/a^4=(a^2+1/a^2)^2-2=[(a+1/a)

已知a+1/a=3,求a^4+1/a^4的值
已知a+1/a=3,求a^4+1/a^4的值

已知a+1/a=3,求a^4+1/a^4的值
a^4+1/a^4
=(a^2+1/a^2)^2-2
=[(a+1/a)^2-2]^2-2
=(9-2)^2-2
=49-2
=47