An algebra problem by Harjot Kohli

Algebra Level 5

If A A and B B are two distinct real numbers such that A B = B A A^{B} = B^{A} , then what is the least possible value of A + B A+B ?


The answer is -6.

Harjot Kohli by Harjot Kohli , 24, India

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1 solution

Manish Maharaj
Mar 30, 2016

Take a=-2 and b=-4.

0 Helpful 1 Interesting 0 Brilliant 3 Confused

Instead of considering random values, is there a method to solve this question?

Thanks in advance! :-)

Aniruddha Bhattacharjee - 5 years, 2 months ago

Bad solution

Abhinav Shripad - 1 year, 6 months ago

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