设m平方加m减1等于0求m立方加2m平方加2009的值
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m^2=1-mm^3+2m^2+2008=m^2*(m+2)+2008=(1-m)(m+2)+2008=-m^2-m+2+2008=-1+2+2008=2009
m^2+m-1=0得m^2+m=1m^3+2m^2+2012=m(m^2+m)+m^2+2012=m+m^2+2012=1+2012=2013
m²+m-1=0则:m²+m=1又:m³+2m²+2012=(m³+m²)+m²+2012=m(m²+m)+m²
m^2+m-1=0m^2+m=1m^2=1-mm^3+2m^2+2009=m(1-m)+2m^2+2009=m+m^2+2009=1+2009=2010
0=1-1=12-1,3=4-1=22-1,8=9-1=32-1,15=16-1=42-1,…用代数式表示第n项是n2-1.再问:神马再答:抱歉发错了不是这个问题∵m^2+m-11=0∴m^2+m=1
m^2+2m+1=(m+1)^2=0,所以m=-1.代入,-1+2+2008=2009
已知m的平方加m减1等于0,求m的立方加2m²减21的值?m³+2m²-21=m³+m²+m²-21=m(m²+m)+m²
m²+m-11=0m²+m=11m³+12m²-21=m(m²+m)+11m²-21=11m+11m²-21=11(m²
因为m^2=m+1,n^2=n+1,所以:两式相减m^2-n^2=m-n,得到m+n=1两式相乘(mn)^2=(m+1)(n+1)=mn+(m+n)+1=mn+2,得到mn=-1或2(舍去)两式相加m
2m²-m-4=0∴2m²-m=48m³-10m²-13m+17=4m(m²-m)-6m²-13m+17=16m-6m²-13m+
m^2+m-1=0m^3+2m^2+2009=(m+1)(m^2+m-1)+2010=2010
m^2+2m-1=0求m^2+(1/m)^2所以m!=0由已知得m+2-1/m=0m^2+(1/m)^2=(m-1/m)^2+2=4+2=6
m^2-3m+1=0m-3+1/m=0m+1/m=3(m+1/m)^2=9m^2+2+1/m^2=9m^2+1/m^2=7
M^3+2M^2+2008=M(M^2+M-1)+(M^2+M-1)+2009=2009
m^2+m-1=0m^2+m=1m^3+2m^2+2002=m(m^2+m)+m^2+2002=m+m^2+2002=2003
∵m²+m-1=0∴m(m²+m-1)=m³+m²-m=0,即m³+m²=m∴m³+2m²+2004=m+m²
若M的平方加M减1等于0,则M的立方加2M的平方加2012=(M的平方+M-1)(M+1)+2013=0+2013=2013
m³-3m²+3m-2=m³-m²+m-2-2m²+2m=m(m²-m+1)-2(m²-m+1)=0+0=0