how-do-i-find-integers-that-satisfy-x-2-y-2-2017-

Question Number 92146 by kpn last updated on 05/May/20

h o w d o i f i n d i n t e g e r s t h a t s a t i s f y

x^{2} - y^{2} = 2017

Commented by Prithwish Sen 1 last updated on 05/May/20

∵ 2017 a prime

then for the soln . to be in integers we can say

x + y = 2017

x - y = 1

∴ x = 1009 amdy = 1008

Answered by mr W last updated on 05/May/20

(x - y) (x + y) = 2017 = p r i m e

x - y = 1

x + y = 2017

\Rightarrow x = \frac{2017 + 1}{2} = 1009

\Rightarrow y = \frac{2017 - 1}{2} = 1008

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