a,b,c满足a^2+b^2+c^2=4a+6b-8c-29,求a,b,c
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![a,b,c满足a^2+b^2+c^2=4a+6b-8c-29,求a,b,c](/uploads/image/z/6751241-17-1.jpg?t=a%2Cb%2Cc%E6%BB%A1%E8%B6%B3a%5E2%2Bb%5E2%2Bc%5E2%3D4a%2B6b-8c-29%2C%E6%B1%82a%2Cb%2Cc)
a,b,c满足a^2+b^2+c^2=4a+6b-8c-29,求a,b,c
a,b,c满足a^2+b^2+c^2=4a+6b-8c-29,求a,b,c
a,b,c满足a^2+b^2+c^2=4a+6b-8c-29,求a,b,c
等式右边移到左边,可得:
(a^2-4a+4)+(b^2+6b+9)+(c^2+8c+16)=0
(a-2)^2 + (b+3)^2 +(c+4)^2 =0
即a=2 b=-3 c=-4
考察完全平方式