The product of two consecutive odd integers is 255. Find the integers. Note: Each set of brackets represents one solution

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To guarantee an even number we can use the expression "2n" where n is any integer. So, to guarantee an odd number we can use the expression "2n + 1". That means that the next consecutive odd integer will be "2n + 3"The product of the odd integers is (2n + 1)(2n + 3) and that equals 255:(2n + 1)(2n + 3) = 2554n2 + 8n + 3 = 2554n2 + 8n - 252 = 0n2 + 2n - 63 = 0(n + 9)(n -7) = 0n = -9 and n = 7We are told that the numbers must be positive so we can throw out n = -9If n = 7, then the first odd number = 2(7) + 1 = 15 and the second is then 17

Step-by-step explanation:

Let numbers be x and x + 2.

Their product is 255:

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step-by-step explanation: