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Algebraic proof of Least value of sum of reciprocals for any number of positive variables

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The result of the least value of sum of reciprocals, used in Algebra represents an important principle of value sharing.

For two positive real variables $a$ and $b$ for example, if $a+b=1$, the least value of sum of reciprocals of $a$ and $b$ will occur when the value of the sum 1 is shared equally between the two variables. This remarkable equal value sharing principle hold true for any number of variables as well as for any positive sum of the variables...

SSC CGL Tier II level Solution Set 14 Algebra 5 video Part 2

This is the second part of the fifth solution set of SSC CGL Tier II algebra. A few of this set of 5 problems are tricky and need application of advanced pattern discovery and concepts and methods for quick solution. Important concepts and techniques used are, pattern discovery, suitable substitution, principle of zero sum of square expressions, denominator simplification, missing element pattern...

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