History of Hindu Mathematics: A Source Book v2.c17.s22.59

v2.c17.s22.59

(2) Or assume the unknown number to be $x = ⅓(u² - 1),$ so that the first condition of the problem (*i.e.*, the first equation) is identically statisfied. Then by the second condition $& 5/3(u² - 1) + 1 = v², / or & (5u)² = 15v² + 10.$