已知m²+3m+1=0,求m的4次方-m²+1分之3m²
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![已知m²+3m+1=0,求m的4次方-m²+1分之3m²](/uploads/image/z/2770337-65-7.jpg?t=%E5%B7%B2%E7%9F%A5m%26%23178%3B%2B3m%2B1%3D0%2C%E6%B1%82m%E7%9A%844%E6%AC%A1%E6%96%B9-m%26%23178%3B%2B1%E5%88%86%E4%B9%8B3m%26%23178%3B)
已知m²+3m+1=0,求m的4次方-m²+1分之3m²
已知m²+3m+1=0,求m的4次方-m²+1分之3m²
已知m²+3m+1=0,求m的4次方-m²+1分之3m²
m²+3m+1=0
m²+1=-3m
m+1/m=-3
(m+1/m)²=(-3)²
m²+2+1/m²=9
m²+1/m²=7
3m²/(m的4次方-m²+1)
=3/(m²-1+1/m²)
=3/(7-1)
=1/2