+389 (a) Find an ordered triple (x,y,z) of real numbers satisfying x<=y<=z and the system of equations
sqrt(x)+sqrt(y)+sqrt(z)=10,
x+y+z=38,
sqrt(xy)+sqrt(xz)+sqrt(yz)=30,
or if there is no such tripe, enter the word "none" as your answer.
(b) Find an ordered triple (x,y,z) of real numbers satisfying x<=y<=z and the system of equations
sqrt(x)+sqrt(y)+sqrt(z)=10,
x+y+z=38,
sqrt(xyz)=30,
or if there is no such tripe, enter the word "none" as your answer.
