作业帮已知m的平方减5m减1等于0
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/08 11:12:25
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
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
题目应该还有后半部分……
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
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
m^2-5m=12m^2-10m+2010=2(m^2-5m)+2010=2*1+2010=2012
∵m²+m-1=0∴m(m²+m-1)=m³+m²-m=0,即m³+m²=m∴m³+2m²+2004=m+m²
1.A为(3m)^2-4m-5=9m^2-4m-5B为3m-2+5m^2A-2B-C=9m^2-4m-5-6m+4-10m^2-C=-m^2-10m-1-C=0所以C为-m^2-10m-12.m=2代
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
m-1/m=4两边平方得到m^2+1/m^2-2=16m^2+1/m^2=18
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
m的平方减4m加n的平方加2n加5等于0(m-2)^2+(n+1)^2=0m-2=0n+1=0m=2n=-11/m-1/n=1/2+1=3/2