Find-all-integer-x-y-such-that-x-2-y-2-100-

Question Number 217066 by ArshadS last updated on 28/Feb/25

F i n d a l l i n t e g e r x, y s u c h t h a t

x^{2} - y^{2} = 100

Answered by mehdee7396 last updated on 28/Feb/25

(x - y) (x + y) = 2 \times 50 = 10 \times 10

x - y = 2 & x + y = 50 \Rightarrow x = 26 & y = 24

x - y = 10 & x + y = 10 \Rightarrow x = 10 & y = 0

Commented by ArshadS last updated on 28/Feb/25

Y o u c o n s i d e r e d o n l y s u c c e s s f u l c a s e s .

T h a n k s a n y w a y!

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