Question 1078281
Find an ordered triple (x,y,z) of real numbers satisfying the system of equations

sqrt{x} + sqrt{y} + sqrt{z} = 10, 
x + y + z = 38,
sqrt{xyz} = 30,

or, if there is no such triple, enter the word "none" as your answer.
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(4,9,25)
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What did you learn from that?