设m²+m=1 求m³+2m²+2005的值
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设m²+m=1 求m³+2m²+2005的值
![设m²+m=1 求m³+2m²+2005的值](/uploads/image/z/17466253-61-3.jpg?t=%E8%AE%BEm%26%23178%3B%2Bm%3D1+%E6%B1%82m%26%23179%3B%2B2m%26%23178%3B%2B2005%E7%9A%84%E5%80%BC)
解
m²+m=1
m³+2m²+2005
=m³+m²+m²+2005
=m(m²+1)+m²+2005
=m×1+m²+2005
=m²+m+2005
=1+2005
=2006
m²+m=1
m³+2m²+2005
=m³+m²+m²+2005
=m(m²+1)+m²+2005
=m×1+m²+2005
=m²+m+2005
=1+2005
=2006
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