[Pramāṇa](https://indike.org/pramana/) › [Studies](https://indike.org/pramana/ins) › [Science, technology and education](https://indike.org/pramana/ins.science) › [Mathematics in Ancient and Medieval India](https://indike.org/pramana/ins.science.bag-1979) › c7.12 # Mathematics in Ancient and Medieval India c7.12 Mathematics in Ancient and Medieval India c7.12 - **Language:** English ### [c7.12](https://indike.org/pramana/ins.science.bag-1979.c7.12) Āryabhaṭa I¹ might have obtained the solution x = (b - a)/(m - n) from the relation m x + a = nx + b and tackled the problem of inverse operation e.g. ax = pq and ax ± b = p by giving the solution as x = pq/a and ax = p b respectively and so on. Bhāskara I (600 A. D.), the earlist exponent of Āryabhaṭa I has used a technical term, \*yāvakarana\* in his \*Āryabhaṭiyabhāṣya\*. The word \*yāva\* (\*yu\* + \*ghañ\*) means ‘to mix’ or ‘to separate’. It is also synonymous with \*varga\* or \*kṛti\*. The operation on \*yāva\* has been preserved by Pṛthudaka (850 A. D.) in his commentary on the \*Brāhmasphuṭasiddhānta\* as such - [Previous: c7.11](https://indike.org/pramana/ins.science.bag-1979.c7.11) - [Next: c7.13](https://indike.org/pramana/ins.science.bag-1979.c7.13) - [Up: c7](https://indike.org/pramana/ins.science.bag-1979.c7) ## Cites (1) - [Brāhmasphuṭasiddhānta](https://indike.org/pramana/in.astro.siddhanta.early.brahmasphutasiddhanta) — Brahmagupta, Sanskrit --- Source: [https://indike.org/pramana/ins.science.bag-1979.c7.12](https://indike.org/pramana/ins.science.bag-1979.c7.12) · Pramāṇa