求4m^2+9n^2+4m+6n+10的最小值

问题描述:

求4m^2+9n^2+4m+6n+10的最小值

4m^2+9n^2+4m+6n+10
=4m²+4m+1+9n²+6n+1+8
=(2m+1)²+(3n+1)²+8
∴4m^2+9n^2+4m+6n+10的最小值是8