Problema Solution
Find two consecutive odd positive integers whose aquares differ by 64.
Answer provided by our tutors
let the two consecutive odd positive integers be:
2x - 1 and 2x+1, where x is positive integer
their squares differ by 64 that is:
(2x + 1)^2 - (2x - 1)^2 = 64
by solving we find
x = 8
2*8 - 1 = 15
2*8 + 1 = 17
the two consecutive odd positive integers are 15 and 17.