知m^2-6m-1=0,求2m^2-6m 1 m^2的值
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m^3+2m^2+2013=m^3+m^2+m^2-1+2014=m^2(m+1)+(m+1)(m-1)+2014=(m^2+m-1)(m+1)+2014=2014用lingo编程求解如下:model
m²+2m+1=0利用完全平方和公式:(m+1)²+0两边同时除以(m+1)m+1=0m=1将m=1带入m³+2m²+3m得:1³+2*1²
m*m-3m+1=0移项得m*m=3m-1可得m=3-1/m∴m+1/m=3两边平方,得m*m+1/m*m=9∵2m*m+2\m*m=2(m*m+1/m*m)代入,得2m*m+2\m*m=2×9=18
应该是m³+2m²+2012=?吧···m²+m-1=0,所以m²+m=1.m³+2m²+2012=m×(m²+m)+m²
m^2+m-1=0则m^2+m=1m^3+2m^2-2004=m^3+m^2+m^2+2004=m(m^2+m)+m^2+2004=m^2+m+2004=1+2004=2005
由m²+m-1=0得m²+m=1m³+2m²+2012=m³+m²+m²+2012=m(m²+m)+m²+20
很高兴回答你的问题∵m²+m-1=0∴m²+m=1m³+2m²-2005=m³+m²+m²-2005=m(m²+m)+m
原式=m(m²+2m)+2009=m(m²+m+m)+2009=m(1+m)+2009=m²+m+2009=1+2009=2010
您好:m²+m-1=0m²+m=1m³+2m²+3=m³+m²+m²+3=m(m²+m)+m²+3=m+m
m²-7m+1=0m-7+1/m=0m+1/m=7(m+1/m)²=49m²+1/m²=49-2=47
m^2+m-1=0m^2+m=1m^3+2m^2+2004=(m^3+m^2)+m^2+2004=m(m^2+m)+m^2+2004=m+m^2+2004=1+2004=2005
m-2m-3m+4m-5m-6m+7m.2004m=(1-2-3+4-5-6+7-8-9+...2002-2003-2004)m=(-4-7-10-..-2005)m=-(4+7+10+..+2005
即m-1/m=-1两边平方m²-2+1/m²=1m²+1/m²=3通分(m^4+1)/m²=3
解m²+m-1=0m²+m=1∴m³+2m²+2015=m(m²+m)+m²+2015=m×1+m²+2015=m²+m
m^2+m-1=0m^2+m=1m^3+2m^2+2007=m(m^2+m)+m^2+2007=m+m^2+2007=1+2007=2008再问:我是求m^2+2m^2+2007,不是m^3+2m^2
(1m+3m+5m+...+2009m)-(2m+4m+6m+...+2008m)=1m+3m+5m+...+2009m-2m-4m-6m-...-2008m=1m+(3m-2m)+(5m-4m)+.
(m2013m)*1007/2-(2m2012m)*1006/2=1007m
=m+(3m-2m)+(5m-4m)+……+(2015m-2014m)=m+1007m=1008m
提示不是很清楚吗,m^3+m^2-m=m(m^2+m-1)=0,所以所求式子等于-1996
m^2+m-1=0得m²+m=1m^3+2m^2+1997=m(m²+m)+m²+1997=m×1+m²+1997=m²+m+1997将上m²