已知：m²+m-1=0,求2m³+4m²+2009的值是多少？
答案:6 悬赏:30 手机版
解决时间 2021-05-10 12:09
- 提问者网友：爱了却不能说
- 2021-05-09 20:18
写过程
最佳答案
- 五星知识达人网友：渡鹤影
- 2021-05-09 21:15
解：
因为m²+m-1=0
所以m²+m=1
2m³+4m²+2009
=2m³+2m²+2m²+2009
=2m(m²+m)+2m²+2009【代入m²+m=1】
=2m+2m²+2009
=2(m+m²)+2009【代入m²+m=1】
=2×1+2009
=2011
全部回答
- 1楼网友：第幾種人
- 2021-05-10 02:12
2011
m²+m-1=0 ，两边乘以2m，得2m³=-2m²+2m，代入原式得2m²+2m+2009
再将2m²+2m=2代入
- 2楼网友：人類模型
- 2021-05-10 00:32
m²+m-1=0
m²+m=1
2m³+4m²+2009
=2m(m²+m+m)+2009
=2m(1+m)+2009
=2(m²+m)+2009
=2+2009
=2011
- 3楼网友：风格不统一
- 2021-05-09 23:26
m²+m=1
2m³+4m²+2009
=2m(m²+m+m)+2009
=2m(1+m)+2009
=2(m²+m)+2009
=2+2009
=2011
- 4楼网友：北方的南先生
- 2021-05-09 22:52
m²+m-1=0
m²+m=1
2m³+4m²+2009
=2m³+2m²+2m²+2009
=2m(m²+m)+2m²+2009
=2m+2m²+2009
=2+2009
=2011
- 5楼网友：平生事
- 2021-05-09 22:45
m²+m-1=0
m²+m=1
m(m+1)=1
2m³+4m²+2009
=2m²(m+1)+2m²+2009
=2m+2m²+2009
=2m(m+1)+2009
=2+2009
=2011
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