2026/082) How can we find out the two factors of 12243 such that they differ by 82 from each other

If they differ by 82 let them be (x-41) and (x+41) for some x. Basically we take the middle term

So we have $(x-41)(x+41) = 12243$

Or $x^2- 1681 = 12243$

Or $x^2 = 12243 + 1681 = 13924 = 118^2$

Or $x= \pm 118$

 Or $x = 118$ or $-118$

Taking $x = 118$ we get  $118–41$ and $118+ 41$ that is $77,159$

also taking $x = -118$ we get $-77,-159$