求 Z=X²+5y²-6x+10y+6极值
问题描述:
求 Z=X²+5y²-6x+10y+6极值
答
x²+5y²-6x+10y+6
= (x²-6x +9)+5(y²+ 2y +1 ) -8
= (x-3)²+ 5(y+1)²-8
z=x²+5y²-6x+10y+6
min z = -8 #