以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?
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![以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?](/uploads/image/z/5240701-37-1.jpg?t=%E4%BB%A5%E7%9F%A5a%2Cb%E6%BB%A1%E8%B6%B3a%5E2b%5E2%2Ba%5E2%2Bb%5E2%2B10ab%2B16%3D0%2C%E5%88%99a%2Cb%E7%9A%84%E5%80%BC%E5%88%86%E5%88%AB%E4%B8%BA%3F)
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以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?
以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?
以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?
(a^2b^2+8ab+16)+(a^2+2ab+b^2)=0
(ab+4)^2+(a+b)^2=0
ab=-4
a+b=0,a=-b
-b^2=-4,b=正负2
所以b=2时a=-2
b=-2时a=2
a^2b^2+a^2+b^2+10ab+16=0
a^2b^2+8ab+16+a^2+b^2+2ab=0
(ab+4)^2+(a+b)^2=0
ab+4=0
a+b=0
a=2,b=-2或
a=-2,b=2
以知a,b满足a^2b^2+a^2+b^2+10ab+16=0,则a,b的值分别为?
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