已知m的二次方+m-1=0,求m的三次方+2m的二次方+2010的值

请在今晚之前回答
2024-12-16 18:38:33
推荐回答(3个)
回答1:

你好,豆宸:

解:
∵m²+m-1=0
∴m²+m=1

m³+2m²+2010
=m(m²+2m)+2010
=m(m²+m+m)+2010
=m(1+m)+2010
=m+m²+2010
=1+2010
=2011

回答2:

求m³+2m²+2010 还是m³+(2m)²+2010

回答3:

m^2+m-1=0
m^2+m=1

m^3+2m^2+2010
=m^3+m^2+m^2+2010
=m(m^2+m)+m^2+2010
=m+m^2+2010
=1+2010
=2011