x x and y y

Number Theory Level 4

Determine the number of pairs ( x , y ) (x,y) of integers such that

1 + 2 x + 2 2 x + 1 = y 2 . 1+2^x+2^{2x+1}=y^2.

Source: an IMO problem


The answer is 4.

Bloons Qoth by Bloons Qoth , 21, USA

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2 solutions

Bloons Qoth
Aug 21, 2016

Happy? Happy?

4 Helpful 0 Interesting 0 Brilliant 0 Confused

what is the name of this book?

I Gede Arya Raditya Parameswara - 3 years, 5 months ago

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Lol this is not an book but basically an IMO Problem.

D K - 2 years, 10 months ago
Shyam Upadhyay
Aug 21, 2016
  • If we take RHS y^2 then we get the ans otherwise question is wrong.
0 Helpful 0 Interesting 1 Brilliant 1 Confused

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