如何解方程组(x+2y)(x+2z)=-16,(y+2z)(y+2x)=8,(z+2x)(z+2y)=-7

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如何解方程组(x+2y)(x+2z)=-16,(y+2z)(y+2x)=8,(z+2x)(z+2y)=-7

如何解方程组(x+2y)(x+2z)=-16,(y+2z)(y+2x)=8,(z+2x)(z+2y)=-7
如何解方程组(x+2y)(x+2z)=-16,(y+2z)(y+2x)=8,(z+2x)(z+2y)=-7

如何解方程组(x+2y)(x+2z)=-16,(y+2z)(y+2x)=8,(z+2x)(z+2y)=-7

做这题不容易啊:

Matlab下输入下列一行
>> [xx,yy,zz]=solve('(x+2*y)*(x+2*z)=-16','(y+2*z)*(y+2*x)=8','(z+2*x)*(z+2*y)=-7')
得到结果是:(一一对应)
xx =

[ ...

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Matlab下输入下列一行
>> [xx,yy,zz]=solve('(x+2*y)*(x+2*z)=-16','(y+2*z)*(y+2*x)=8','(z+2*x)*(z+2*y)=-7')
得到结果是:(一一对应)
xx =

[ 0]
[ -2]
[ 2]
[ 0]
[ -3/232*(i*19^(1/2)+4*i*3^(1/2))^3-1235/696*i*19^(1/2)-1235/174*i*3^(1/2)]
[ -3/232*(i*19^(1/2)-4*i*3^(1/2))^3-1235/696*i*19^(1/2)+1235/174*i*3^(1/2)]
[ -3/232*(-i*19^(1/2)+4*i*3^(1/2))^3+1235/696*i*19^(1/2)-1235/174*i*3^(1/2)]
[ -3/232*(-i*19^(1/2)-4*i*3^(1/2))^3+1235/696*i*19^(1/2)+1235/174*i*3^(1/2)]


yy =

[ -4]
[ 2]
[ -2]
[ 4]
[ -1/696*(i*19^(1/2)+4*i*3^(1/2))*(3*(i*19^(1/2)+4*i*3^(1/2))^2+257)]
[ -1/696*(i*19^(1/2)-4*i*3^(1/2))*(3*(i*19^(1/2)-4*i*3^(1/2))^2+257)]
[ -1/696*(-i*19^(1/2)+4*i*3^(1/2))*(3*(-i*19^(1/2)+4*i*3^(1/2))^2+257)]
[ -1/696*(-i*19^(1/2)-4*i*3^(1/2))*(3*(-i*19^(1/2)-4*i*3^(1/2))^2+257)]


zz =

[ 1]
[ -3]
[ 3]
[ -1]
[ 1/3*i*19^(1/2)+4/3*i*3^(1/2)]
[ 1/3*i*19^(1/2)-4/3*i*3^(1/2)]
[ -1/3*i*19^(1/2)+4/3*i*3^(1/2)]
[ -1/3*i*19^(1/2)-4/3*i*3^(1/2)]

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