Question

若M的二次方+m-1=0 求m的三次方+2m的二次方+2008

Answer 1

由m²+m-1=0 得出 m²+2m+1=m+2,即(m+1)²=m+2.m³+2m²+2008=m³+2m²+m+2008-m=m(m²+2m+1)+2008-m=m(m+1)²+2008-m=m(m+2)+2008-m=m²+2m+1+2007-m=(m+1)²+2007-m=...