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

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