History of Hindu Mathematics: A Source Book v2.c17.s14.78

v2.c17.s14.78

By this Lemma, the solutions of the Square-natures (*i*) 6x²+12=y², (*ii*) 6x²+75=y², and (*iii*) 6x²+300=y², can be derived, as shown by Bhâskara II,¹ from those of $6x²+3=y²,$ since 12=2².3, 75=5².3, and 300=10².3. How to solve this latter equation will be indicated later on.