76 GANITASARASANGRAIIA. the big theatre of the mountain top; and 5 times the square root fof that collection) stayed in an excellent forest of rahulu trees; and (the remaining) 25 were seen on a punniga tree O arith- metician, give ont after calculation (the numerical measure of) the collection of peacocks. 36. One-fourth (of an unknown number of surasa birds is moving in the midst of a cluster of lotuses; and parts (thereof) as well as 7 times the square root (thereof) move on a mountain; (then) in the midst of (some) blossomed rakula trees (the remainder) is (found to he) 56 in number. O you clever friend, tell me exactly how many hirds there are altogether. 37. No fractional part of a collection of monkeys (is distributed anywhero); three times its square root are on a mountain; and 40 (remaining) monkeys are seen in a forest What is the measure of that collection (of monkeys) ? 38. Half (the number) of cuckoos were found on the blossomed branch of a mango tree; and 18 (were found) on a tilaka tree. No (multiple of thic) square root (of their number was to he found anywhere). Give out (the numerical value of) the collection of cuckoos. 39. Half of a collection of swans was found in the midst of vakula trees; five times the square root (of that collection was found) on the top of tamala trees; and here nothing was seen (to remain thereafter). O friend, give out quickly the numerical measure of that (collection). Here ends the Mula variety (of miscellaneous problems on fractions). The rule relating to the Sesamula variety (of miscellaneous problems on fractions). 40. (Take) the square of half (the coefficient) of the square root (of the remaining part of the unknown collective quantity), and 2 2 40. Algebraically, x-bx= { ½ + √( 2 ) ² + a} ². From this the value. of is to be found out according to rulo 4 given in this chapter This value of x-bx is obtained easily from the equation x-ba +(c x-bx + a) = 0.
