Beyond IIT #1

Algebra Level 2

determine sum of all possible non negative integral solutions of x x = 1 2 x^x=\frac{1}{\sqrt{2}}

none of them 24 65 71 51 9 2 5

Atul Shivam by Atul Shivam , 23, India

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1 solution

The solution for this problem can be done using simple logic.

A (positive integer)^(positive integer) has to be a positive integer but 1 2 \dfrac {1}{\sqrt{2}} is not a positive integer so no integral solution exists.

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