in a party every person shakes hands with every other person . if there were a total of 105 handshakes in the party then what is the number of persons present in the party ?
"explanation : let the number of persons be n â ˆ ´ total handshakes = nc 2 = 105 n ( n - 1 ) / 2 = 105 â ˆ ´ n = 15 answer : a"
divide(add(sqrt(add(multiply(multiply(105, const_2), const_4), const_1)), const_1), const_2)