Crazy Equations

Number Theory Level 2

How many solutions in integers ( x , y ) (x,y) does the equation 15 x 2 − 7 y 2 = 9 15x^2 - 7y^2 = 9 have?

This is part of the set My Problems and THRILLER


The answer is 0.

Ankit Kumar Jain by Ankit Kumar Jain , 20, India

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2 solutions

Patrick Corn
Oct 12, 2015

Look mod 5 5 : 3 y 2 ≡ 4 3y^2 \equiv 4 , or y 2 ≡ 3 y^2 \equiv 3 , is impossible.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Barr Shiv
Dec 10, 2018

just look at mod 4

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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