设m²+m-2=0,求m³+3m²+2000的值,速度,在线等!
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设m²+m-2=0,求m³+3m²+2000的值,速度,在线等!
设m²+m-2=0,求m³+3m²+2000的值,速度,在线等!
设m²+m-2=0,求m³+3m²+2000的值,速度,在线等!
m^2+m-2=0 m= -2 or m=1 带入 m=-2时 2004 m=1时 2004所以值 都是 2004
m^3+3m^2+2000=m(m^2+m-2)+2m^2+2m+2000=m(m^2+m-2)+2(m^2+m-2+2)+2000
=(m+2)(m^2+m-2)+4+2000=0(m+2)+2004=2004
m²+m-2=0
(m+2)(m-1)=0
m=-2或1
m³+3m²+2000
=1+3+2000=2004
或者=-8+12+2000
=2004
【参考答案】
由m^2 +m-2=0得
m^2 +m=2
则:
m^3 +3m^2 +2000
=m(m^2 +m)+2m^2 +2000
=m×2+2m^2 +2000
=2(m^2 +m)+2000
=2×2+2000
=2004
欢迎追问。。。
将m²+m-2=0分解因式得(m+2)(m-1)=0,解得m=-2或m=1,
m³+3m²+2000=m²(m+3)+2000,将m=-2或m=1分别代入,可得原式等于2004.
2003 2004