x²-6x+y²+8y+25=0 则x= y=

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x²-6x+y²+8y+25=0 则x= y=

x²-6x+y²+8y+25=0 则x= y=
x²-6x+y²+8y+25=0 则x= y=

x²-6x+y²+8y+25=0 则x= y=
x²-6x+y²+8y+25=0
x²-6x+9+y²+8y+16=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

(x-3)^2+(y+4)^2=0
x=3 y=-4

x²-6x+y²+8y+25=0
(x-3)^2+(y+4)^2=0
x-3=0,y+4=0
x=3,y=-4

∵x²-6x+y²+8y+25=(x²-6x+3²)+(y²+8y+4²)
=(x-3)²+(y+4)²
又∵x²-6x+y²+8y+25=0,即(x-3)²+(y+4)²=0,而...

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∵x²-6x+y²+8y+25=(x²-6x+3²)+(y²+8y+4²)
=(x-3)²+(y+4)²
又∵x²-6x+y²+8y+25=0,即(x-3)²+(y+4)²=0,而(x-3)²≥0,(y+4)²≥0
∴x-3=0,y+4=0
则x=3,y=﹣4.
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