olymmath

JBMO-SL 2008 A2

  • Answer

Find all real numbers a,b,c,da, b, c, d such that a+b+c+d=20a+b+c+d=20 and ab+ac+ad+bc+bd+cd=a b+a c+a d+b c+b d+c d= 150 .

Dataset text NuminaMath olympiads. Quoted with source.

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a=b=c=d=5

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