若a²+4ab+b²+a²b²+1=0,则a= b=
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若a²+4ab+b²+a²b²+1=0,则a= b=
若a²+4ab+b²+a²b²+1=0,则a= b=
若a²+4ab+b²+a²b²+1=0,则a= b=
a²+4ab+b²+a²b²+1=0
a²+2ab+b²+a²b²+2ab+1=0
(a+b)²+(ab+1)²=0
a+b=0
ab+1=0
a=-1 b=1
或
a=1,b=-1
a²+4ab+b²+a²b²+1=0
a²+2ab+b²+a²b²+2ab+1=0
(a+b)²+(ab+1)²=0
a+b=0
ab=0
a=b=0
a*b=-1,a+b=0,所以a=1,b=-1.或者a=-1,b=1