Problema Solution
Which two consecutive numbers have squares that have a difference of 17?
Answer provided by our tutors
the two consecutive numbers can be written as: x and x+1
(x + 1)^2 - x^2 = 17
by solving we find:
x = 8
click here to see the step by step solution of the equation:
8 + 1 = 9
indeed
9^2- 8 ^2 = 81 - 64 = 17
the two consecutive numbers are 8 and 9.