x^2+y^2+x-y+1求最小值

问题描述:

x^2+y^2+x-y+1求最小值
同上

x²+y²+x-y+1
=(x²+x)+(y²-y)+1
=(x²+x+1/4)+(y²-y+1/4)-1/4-1/4+1
=(x+1/2)²+(y-1/2)²+1/2
所以最为1/2