x²+y²-6x+8y+25=0求(x-y)-²
问题描述:
x²+y²-6x+8y+25=0求(x-y)-²
答
x²+y²-6x+8y+25=0
x^2-6x+9+y^2+8y+16=0
(x-3)^2+(y+4)^2=0
x-3=0 y+4=0
x=3 y=-4
(x-y)-²
=(3-(-4))^(-2)
=1/49
答
x²+y²-6x+8y+25=0
(x-3)²+(y+4)²=0
(x-3)²≥0
(y+4)²≥0
∴x-3=0,y+4=0
∴x=3,y=-4
剩下的看不到,自己带入就可以了