m的平方减2m等于m的平方加m2等于
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 13:12:43
m²+2m+1=0(m+1)²=0m+1=0m=-1所以m²+1/m²=1+1=2
解题思路:利用完全平方公式解答解题过程:请看附件最终答案:略
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^3+2m^2+2009=(m+1)(m^2+m-1)+2010=2010
m+1/m=3m^2+1/m^2=(m+1/m)^2-2=9-2=7
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
因为:m^2+m-1=0所以,乘以m得到:m^3+m^2=mm^3+2m^2+2011=m^2+m+2011=1+2011=2012
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^2-5m-1=0∴m^2-5m=1又有m^2-1=5m上式两边同时除以mm-1/m=5两边平方m^2-2+1/m^2=25∴m^2+1/m^2=27∴2m^2-5m+1/m^2=(m^2-5m)
m^2-5m-1=0,可得m^2=5m+12m^2-5m+1/m^2=10m+2-5m+1/(5m+1)=(25m^2+15m+3)/(5m+1)=(125m+25+15m+3)/(5m+1)=28
m^2-5m-1=0m^2=5m+1原式=10m+2-5m+1/(5m+1)=5m+2+1/(5m+1)=(25m^2+15m+3)/(5m+1)=(125m+25+15m+3)/(5m+1)=(14
=[(3m+2n)+(m-n)][(3m+2n)-(m-n)]=(3m+2n+m-n)(3m+2n-m+n)=(4m+n)(2m+3n)
等于1m-1/m=-1两边同乘一个m得m平方-1=-m移项得m平方+m=1
m²-2m=1m²-2m+1=1+1(m-1)²=2m-1=±√2m1=1+√2,m2=1-√2
置换法.m-5m-1=0m-5m=1m-1=5m因为m≠0,两边同时除以m得m-1/m=5m+1/m=(m-1/m)+2m*1/m=25+2=27所以2m-5m+1/m=m-5m+m+1/m=1+27
1/m+m=2两边同时乘以m,1+m²=2mm²-2m+1=(m-1)²=0所以m=1所以m²+1/m=2
m^2-5m-1=0m-1/m=52m^2-5m+1/m^2=(m^2-5M)+m^2+1/m^2=1+(m-1/m)^2+2=1+5^2+2=28