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13 November, 00:26

The product of two consecutive odd integers that are positive is 323.

a. Write an equation to find the integers.

b. Find the two integers.

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Answers (1)
  1. 13 November, 03:19
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    See below in bold.

    Step-by-step explanation:

    Let the 2 integers be n and n + 2 (as consecutive odd numbers ascend by 2).

    (a). So we have the equation:

    n (n + 2) = 323.

    (b). n^2 + 2n = 323

    n^2 + 2n - 323 = 0

    (n + 19) (n - 17)

    n = '17 (we ignore the negative).

    But 17 * 19 = 323 so

    the 2 numbers are 17 and 19.
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