# How many Triple?

**Algebra**Level 4

How many Triple \[T=(x-y,y-z,z-x)\] there is such that :

- \(x\) , \(y\) and \(z\) are complex numbers
- \(x(x-1)+2yz=y(y-1)+2zx=z(z-1)+2xy\)

How many Triple \[T=(x-y,y-z,z-x)\] there is such that :

- \(x\) , \(y\) and \(z\) are complex numbers
- \(x(x-1)+2yz=y(y-1)+2zx=z(z-1)+2xy\)

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