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Give positive numbers a, b and c are such that ab + bc + ca + abc = 4, What is the value of 1/a+2 + 1/b+2 + 1/c+2 = ?

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Give positive numbers a, b and c are such that
ab + bc + ca + abc = 4,
What is the value of
1/a+2 + 1/b+2 + 1/c+2 = ?

posted Jun 6, 2019 by Aman

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1 Answer

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ab + bc + ca + abc = 4 is true only when a = b = c = 1
therefore
1/a+2 + 1/b+2 + 1/c+2 = 1/3 + 1/3 + 1/3 = 1.

answer Aug 5, 2019 by Tejas Naik
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