若已知a2-3a+1=0 求:a4+1/a4的值?
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![若已知a2-3a+1=0 求:a4+1/a4的值?](/uploads/image/z/1255156-52-6.jpg?t=%E8%8B%A5%E5%B7%B2%E7%9F%A5a2-3a%2B1%3D0+%E6%B1%82%3Aa4%2B1%2Fa4%E7%9A%84%E5%80%BC%3F)
若已知a2-3a+1=0 求:a4+1/a4的值?
若已知a2-3a+1=0 求:a4+1/a4的值?
若已知a2-3a+1=0 求:a4+1/a4的值?
a^2-3a+1=0
a-3+1/a=0
a+1/a=3
a^4+1/a^4
=a^4+1/a^4+2-2
=(a^2+1/a^2)^2-2
=[(a+1/a)^2-2]^2-2
=[3^2-2]^2-2
=47