问题
解答题
m2+m-1=0,那么m3+2m2+20=?
答案
因为,m2+m-1=0,
所以,m2+m=1,
m3+2m2+20,
=m(m2+2m)+20,
=m(m2+m+m)+20,…代入m2+m=1,
=m(1+m)+20,
=m2+m+20,
代入m2+m=1,
m2+m+20=21;
故答案为:21.
m2+m-1=0,那么m3+2m2+20=?
因为,m2+m-1=0,
所以,m2+m=1,
m3+2m2+20,
=m(m2+2m)+20,
=m(m2+m+m)+20,…代入m2+m=1,
=m(1+m)+20,
=m2+m+20,
代入m2+m=1,
m2+m+20=21;
故答案为:21.