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Let x,y,z be positive reals and x^2 + xy + y^2 =2; y^2 +yz + z^2 =1 and z^2 +zx + x^2 =3.If the value of xy + yz + zx can be expressed as root p/q where p and q are relatively prime positive integer. Find p-q?

Let x,y,z be positive reals and x^2 + xy + y^2 =2; y^2 +yz + z^2 =1 and z^2 +zx + x^2 =3.If the value of xy + yz + zx can be expressed as root p/q where p and q are relatively prime positive integer. Find p-q?

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