Question

the product of two consecutive positive odd numbers is 195.By forming a quadratic equation and solving it,find the two numbers

Answer 1

n (n+2) = 195
n^2 + 2 n - 195 = 0
well sqrt 195 = 13.98 so maybe 13 or something or 15 or something
so maybe (n+15)(n-13) = 0
heavens, 15 * 13 = 195 !

Answer 2

14^2 = 196
so since x^2-1 = (x-1)(x+1)
(14-1)(14+1) = 196-1
13*15 = 195