1.4x^2 - 4xy + y^2 - 44x + 22y + 402.( 1 - x^2 )( 1 - y^2 ) + 4xy3.x^2 + x + 1 =0

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1.4x^2 - 4xy + y^2 - 44x + 22y + 402.( 1 - x^2 )( 1 - y^2 ) + 4xy3.x^2 + x + 1 =0
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1.4x^2 - 4xy + y^2 - 44x + 22y + 402.( 1 - x^2 )( 1 - y^2 ) + 4xy3.x^2 + x + 1 =0
1.4x^2 - 4xy + y^2 - 44x + 22y + 40
2.( 1 - x^2 )( 1 - y^2 ) + 4xy
3.x^2 + x + 1 =0

1.4x^2 - 4xy + y^2 - 44x + 22y + 402.( 1 - x^2 )( 1 - y^2 ) + 4xy3.x^2 + x + 1 =0
1 分组 然后 十字相乘
原式= (2x-y)^2-22(2x-y)+40
=(2x-y-2)(2x-y-20)
2 分组 然后 完全平方 然后平方差
原式=1-y^2-x^2+x^2y^2+4xy
=(x^2y^2+2xy+1)-(x^2-2xy+y^2)
=(y+1)^2-(x-y)^2
=(xy+1+x-y)(xy+1-x+y)
3
这个无解的阿,x^2就大于等于0了,再+个1,还能等于0?非要解就这样
用配方
[x^2+x+(1/4)]-(1/4)+1=0
(x+ 1/2)^2=-3/4
(x+ 1/2)^2=根号-3/4
所以无解