Problema Solution
The product of two consecutive odd integers is 1023. Find the integers.
Answer provided by our tutors
the two consecutive odd integers can be written as
2x-1 and 2x + 1
where x is integer
the product of the numbers is 1023 thus
(2x - 1)(2x + 1) = 224
by solving we find 2 roots
x1 = 7.5
x2 = -7.5
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but since these solutions are not integers follows that such consecutive odd integers do not exist thus there is no solution to the problem.