a^2+2ab+b^2-a-b+1/4=0求a+b的值

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a^2+2ab+b^2-a-b+1/4=0求a+b的值
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a^2+2ab+b^2-a-b+1/4=0求a+b的值
a^2+2ab+b^2-a-b+1/4=0求a+b的值

a^2+2ab+b^2-a-b+1/4=0求a+b的值
a^2+2ab+b^2-a-b+1/4=0
(a+b)^2-(a+b)+1/4=0
(a+b-1/2)^2=0
所以a+b-1/2=0
a+b=1/2

a^2+2ab+b^2-a-b+1/4=0
(a+b-1/2)^2=0
a+b=1/2

如图

a^2+2ab+b^2-a-b+1/4
=(a+b)^2-(a+b)+1/4
=(a+b-1/2)^2
=0
a+b=1/2

a^2+2ab+b^2-a-b+1/4 =(a+b)^2-(a+b)+1/4 =(a+b-1/2)^2 =0 a+b=1/2 知道了吗??