If x, y, z are positive reals such that `x^2 - y^2 + z^2 = 7: xy + yz + zx = 4` then the minimum valueof `(4-(y+x)z)` is `p/q` (where p, q are relatively prime). Find the value of `(p+q)`

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is

If x,y,z are positive real numbers such that x^(2)+y^(2)+Z^(2)=7 and xy+yz+xz=4 then the minimum value of xy is

If the real numbers x, y, z are such that x^2 + 4y^2 + 16z^2 = 48 and xy + 4yz + 2zx = 24 . what is the value of x^(2) +y^(2) z^(2) =?

Let x,y and z are 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 + zx can be expressed as sqrt((p)/(q)) where p and q are relatively prime positive integral find the value of p-q,

If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^(2) + y^(2) z^(2)