作业帮 > 数学 > 作业

y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,x^2+xy+y^2=c^2,yz+zx+xy=0.证明:(

来源:学生作业帮 编辑:搜搜考试网作业帮 分类:数学作业 时间:2024/04/29 21:25:22
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,x^2+xy+y^2=c^2,yz+zx+xy=0.证明:(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0
y^2+yz+z^2=a^2,z^2+zx+x^2=b^2,x^2+xy+y^2=c^2,yz+zx+xy=0.证明:(
y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0 y^2+yz+z^2=a^2,yz≥0
z^2+zx+x^2=b^2,zx≥0
x^2+xy+y^2=c^2,xy≥0
yz+zx+xy=0,x=y=z=0
(a+b+c)(a+b-c)(a-b+c)(a-b-c)=0