x^2y^2-20xy+x^2+y^2+81=0求x+y的值 谢叻
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x^2y^2-20xy+x^2+y^2+81=0求x+y的值谢叻x^2y^2-20xy+x^2+y^2+81=0求x+y的值谢叻x^2y^2-20xy+x^2+y^2+81=0求x+y的值谢叻x^2y
x^2y^2-20xy+x^2+y^2+81=0求x+y的值 谢叻
x^2y^2-20xy+x^2+y^2+81=0求x+y的值 谢叻
x^2y^2-20xy+x^2+y^2+81=0求x+y的值 谢叻
x^2y^2-20xy+x^2+y^2+81
=(x^2y^2-18xy+81)+(x^2+y^2-2xy)
=(xy-9)^2+(x-y)^2
=0
两个完全平方相加=0
则 xy-9=0且x-y=0
解法一:
则x=y=3或x=y=-3
则x+y=6或-6
解法二:
则(x+y)^2=(x-y)^2+4xy=0+4*9=36
则x+y=6或-6
啥子意思哦?看不明白你的问题,
原式=(x-y)^2+(xy-9)^2=0
所以x-y=0,xy-9=0
所以x=y=3或x=y=-3
x+y=6 或x+y=-6
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