a*a+6b=-17,b*b+8c=-23,c*c+2a=14
a*a+6b+b*b+8c+c*c+2a=-26
a*a+2a+1+b*b+6b+9+c*c+8c+16=0
(a+1)²+(b+3)²+(c+4)²=0
所以a=-1,b=-3,c=-4
a*a+6b=-17,b*b+8c=-23,c*c+2a=14
a*a+6b+b*b+8c+c*c+2a=-26
a*a+2a+1+b*b+6b+9+c*c+8c+16=0
(a+1)²+(b+3)²+(c+4)²=0
所以a=-1,b=-3,c=-4