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Positive reals a , b , and c are such that a b + b c + a c = 1 . Find the minimum value of the following expression:
b + c a 2 + a + c b 2 + a + b c 2 + a + b + c 3 6
Bonus : For what values of a , b , and c , is this minimum achieved?
The answer is 20.
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1 solution
The answer is wrong. It is a value greater than 20. Some number between 20 and 21.
Try a = 1 − α , b = 1 − β , c = 2 − ( α + β ) α + β − α β with α and β being infinitesimal positive real numbers.
Completely wrong answer. try a=b=c=1/√3.It will come greater than 22
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You have to find the minimum value. Not the maximum.
I cannot type latex? I tried typing 2 1 but it displays raw text..