实数a.b满足a²+2b²-2a+8b+9=0,试求a.b的值

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实数a.b满足a²+2b²-2a+8b+9=0,试求a.b的值
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实数a.b满足a²+2b²-2a+8b+9=0,试求a.b的值
实数a.b满足a²+2b²-2a+8b+9=0,试求a.b的值

实数a.b满足a²+2b²-2a+8b+9=0,试求a.b的值
a²+2b²-2a+8b+9=0
(a²-2a+1)+2(b²+4b+4)=0
(a-1)²+2(b+2)²=0
a-1=0 a=1
b+2=0 b=-2

a=1 b=-2
because(a-1)2+(b+2)2=0