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varington
@varington
August 2022
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довести (а+b)(1/a+1/b)>4
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marusykaklimova
От левой части отнимем правую и покажем, что результат больше нуля
(a+b)((b+a)/ab)-4=(a-b)²/ab т.к.a>0 b >0,то (a-b)²/ab>0
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(a+b)((b+a)/ab)-4=(a-b)²/ab т.к.a>0 b >0,то (a-b)²/ab>0