Essay

Documenting the Algebraic Method for Consecutive Odd Integers

As part of an internal audit for an inventory management system, you are required to document the mathematical logic used to resolve aisle labeling conflicts. Describe the full algebraic procedure for finding two consecutive odd integer codes when their product is known to be 195. Your explanation must include: (1) how the two consecutive odd integers are represented using a single variable 'n', (2) the initial product equation and its conversion into a standard quadratic equation (ax2+bx+c=0ax^2 + bx + c = 0), and (3) the specific values of the coefficients (a, b, and c) that would be substituted into the Quadratic Formula to find the solution pairs.

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Updated 2026-04-19

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