History of Hindu Mathematics: A Source Book v2.c17.s23.64

v2.c17.s23.64

*Case v.* For the solution of the double equation of the general form $.ax² + by² + c &= u² / a'x² + b'y² + c' &= v²$ Bhâskara II's hint¹ is: Find the values of x, u in the first equation in terms of y, and then substitute that value of x in the second equation so that it will be reduced to a Square-nature. He has, however, not given any illustrative example of this kind.