anirdhaarya sameekaran

jis sameekaran ke anant hal hon use anirdhaarya sameekaran (indeterminate equation) kehte hain. jaise, 2x = y ek saral anirdhaarya sameekaran hai. anirdhaarya sameekaranon ko hal karne ke liye kuchh aur pratibndh (shartein) di jaani chaahiye.

udaaharan

jahaaain a, b, c aur P poornaank hain (aur P kisi poornaank ka varg naheen hai) to uparyukt donon sameekaran anirdhaarya hain. oopar diya gaya doosra sameekaran pel ka sameekaran (Pell's equation) kahalaata hai. kintu Bhaarat mein is tarah ke sameekaranon ko 'varg-prakruti' kehte the. brahmagupt ne pel se 1000 varsh pehle iske hal ki vidhi bataayi thi. inke hal ke liye brahmagupt ne do prameyikaaon (lemmaaj) ki khoj ki thi jinhein 'bhaavana' kaha gaya hai.

inhein bhi dekhein