Prove that exists a infinity of triplets a,b,c∈R satisfying simultaneously the relations a+b+c=0 and a4+b4+c4=50. Moldova National Math Olympiad 2010, 12th grade
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Prove that exists a infinity of triplets a,b,c∈R satisfying simultaneously the relations a+b+c=0 and a4+b4+c4=50. Moldova National Math Olympiad 2010, 12th grade