Turing のブログ

Pell's equation et Pythagorean triple

Pell's equation

$ax^{2}+1=y^{2},$

$1$ $2$ $+ ny 2 =$ $x 2$

$x^{2}-ny^{2}=-1\,$

$1$ $2$ $+ x 2 =$ $ny 2$

$Pythagorean tripleト一致。$

$ὅπερ ἔδει δεῖξαι$

$T.theodor 2022.6.28$