SOLUTION: if x,y,z are terms of geometric progression than solve this system o equations {{{x+y+z=28}}} {{{x^2+y^2+z^2=336}}}

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Question 1021259: if x,y,z are terms of geometric progression than solve this system o equations
x%2By%2Bz=28
x%5E2%2By%5E2%2Bz%5E2=336

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
A particular solution is given by x = 4, y = 8, z = 16, where r = 2. Incidentally this is the only set of solution for this system.