已知m是x²+x-1=0的解 求m³+2m²+2012的值
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已知m是x²+x-1=0的解 求m³+2m²+2012的值
已知m是x²+x-1=0的解 求m³+2m²+2012的值
已知m是x²+x-1=0的解 求m³+2m²+2012的值
x=m
m²+m=1
所以m³+2m²
=m³+m²+m²
=m(m²+m)+m²
=m+m²
=1
所以原式=1+2012=2013
你是只要答案还是要解答过程?
x²+x-1=0
m²+m-1=0
m²=1-m
m²+m=1
所以
m³+2m²+2012
=m(1-m)+2m²+2012
=m²+m+2012
=1+2012
=2013