解方程组x^2+xy+y^2=37y^2+yz+z^2=19 z^2+zx+x^2=28x^2+xy+y^2=37y^2+yz+z^2=19z^2+zx+x^2=28

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解方程组x^2+xy+y^2=37y^2+yz+z^2=19z^2+zx+x^2=28x^2+xy+y^2=37y^2+yz+z^2=19z^2+zx+x^2=28解方程组x^2+xy+y^2=37y

解方程组x^2+xy+y^2=37y^2+yz+z^2=19 z^2+zx+x^2=28x^2+xy+y^2=37y^2+yz+z^2=19z^2+zx+x^2=28
解方程组x^2+xy+y^2=37y^2+yz+z^2=19 z^2+zx+x^2=28
x^2+xy+y^2=37
y^2+yz+z^2=19
z^2+zx+x^2=28

解方程组x^2+xy+y^2=37y^2+yz+z^2=19 z^2+zx+x^2=28x^2+xy+y^2=37y^2+yz+z^2=19z^2+zx+x^2=28
(1)x = -4,y = -3,z = -2
(2)x = 4,y = 3 ,z = 2
(3)x = 10√3/3,y = √3/3 ,z = -8√3/3
(4)x = -10√3/3,y = -√3/3,z = 8√3/3 .