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FerrumIgnique
@FerrumIgnique
July 2022
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ещественные числа a, b и c таковы, что a+b+c=0. Докажите, что ab+bc+ac ≤ 0
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Denik777
Verified answer
Из формулы (a+b+c)²=a²+b²+c²+2ab+2bc+2ac следует, что
ab+bc+ac=((a+b+c)²-a²-b²-c²))/2=(-a²-b²-c²)/2≤0.
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Verified answer
Из формулы (a+b+c)²=a²+b²+c²+2ab+2bc+2ac следует, чтоab+bc+ac=((a+b+c)²-a²-b²-c²))/2=(-a²-b²-c²)/2≤0.