Find an ordered triple (x,y,z) of real numbers satisfying x ≤ y ≤ z and the system of equations

√x + √y + √z = 10

x + y + z = 38

√(xy) + √(xz) + √(yz) = 30

or, if there is no such triple, enter the word "none" as your answer.

Destryox Jan 28, 2021