若m=2011/根号下2012-1,则m5-2m4-2011m3的值是?
答案:5 悬赏:50 手机版
解决时间 2021-01-08 02:11
- 提问者网友：嘚啵嘚啵
- 2021-01-07 21:29
若m=2011/根号下2012-1,则m5-2m4-2011m3的值是?
最佳答案
- 五星知识达人网友：行路难
- 2021-01-07 21:54
解：m=2011/(√2012-1)=2011*(√2012+1)/[(√2012-1)*(√2012+1)]
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
全部回答
- 1楼网友：末日狂欢
- 2021-01-08 01:25
分母有理化
m=√2012 1
m-1=√2012
m²-2m 1=2012
m²-2m-2011=0
原式=m³(m²-2m-2011)
=0
追问
m=√2012 1
m-1=√2012
m²-2m 1=2012
m²-2m-2011=0
原式=m³(m²-2m-2011)
=0
追问
- 2楼网友：酒安江南
- 2021-01-08 00:27
解：m=2011/(√2012-1)=2011*(√2012 1)/[(√2012-1)*(√2012 1)]
=√2012 1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
=√2012 1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
- 3楼网友：骨子里都是戏
- 2021-01-07 23:08
解：m=2011/(√2012-1)=2011*(√2012+1)/[(√2012-1)*(√2012+1)]
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
- 4楼网友：千杯敬自由
- 2021-01-07 22:48
解：m=2011/(√2012-1)=2011*(√2012+1)/[(√2012-1)*(√2012+1)]
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
=√2012+1
故有m-1=√2012
(m-1)^2=2012
则m^5-2m^4-2011m^3
=m^3*(m^2-2m-2011)
=m^3*[(m-1)^2-2012]
=m^3*(2012-2012)
=0
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