perplexus.info :: Just Math : xyz radicals

xyz radicals (Posted on 2008-10-13)

Find all possible real triplet(s) (x,y,z) that satisfy the following system of equations:


     3 = √x + √y + √z,
     3 = x√x + y√y + z√z,
     3 = x²√x + y²√y + z²√z.

See The Solution Submitted by Bractals

Rating: 4.0000 (1 votes)

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Answer

Comment 4 of 4 |

x=y=z=1

Posted by K Sengupta on 2009-01-02 16:05:37

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