初一数学问题已知m²＋m-1=0，求代数式m³+2m²＋2013的值
2019-05-30
初一数学问题
已知m²＋m-1=0，求代数式m³+2m²＋2013的值
优质解答
∵m²＋m-1=0
∴m²＋m=1
则m³+2m²＋2013
=m³+m²+m²＋2013
=m(m²+m)+m²＋2013
=m+m²＋2013
=1+2013
=2014
∵m²＋m-1=0
∴m²＋m=1
则m³+2m²＋2013
=m³+m²+m²＋2013
=m(m²+m)+m²＋2013
=m+m²＋2013
=1+2013
=2014