History of Hindu Mathematics: A Source Book v2.c17.s25.81

v2.c17.s25.81

In every instance of this kind, remarks Bhâskara II, "the values of the two unknown numbers should be so assumed in terms of another unknown that all the stipulated conditions will be satisfied." In other words, the equation will have to be resolved into a number of other equations all of which have to be satisfied simultaneously. Thus we shall have to solve $x-y+2=u²,$ $x+y+2=v²,$ $x²-y²+8=s²,$ $x²+y²=t²,$ $½(xy+y)=p³,$ $u+v+s+t+p=q².$