mn是实数满足4m²+9n²-4m+6n+2=0那么18n²+24n+4比4m²+4m-1
问题描述：
mn是实数满足4m²+9n²-4m+6n+2=0那么18n²+24n+4比4m²+4m-1
答
解
4m²+9n²-4m+6n+2=0
(4m²-4m+1)+(9n²+6n+1)=0
(2m-1)²+(3n+1)²=0
∴2m-1=0,3n+1=0
∴m=1/2,n=-1/3
∴(18n²+24n+4)/(4m²+4m-1)
=(18×1/9-24×1/3+4)/(4×1/4+4×1/2-1)
=(2-8+4)/(1+2-1)
=-2/2
=-1