The product of two consecutive positive events integers is 728. Find the two integers.

Question

The product of two consecutive positive events integers is 728. Find the two integers.

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Alexandra 1 month 2021-09-13T13:44:09+00:00 1 Answer 0

Answers ( )

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    2021-09-13T13:45:41+00:00

    Two integers are 26 and 28

    Step-by-step explanation:

    • Step 1: Let the two consecutive positive integers be x and x + 2. Product = 728

    x(x + 2) = 728

    x² + 2x – 728 = 0

    x = -2 ±√4 – 4 × 1 × -728/2 (using quadratic formula)

      = -2 ±√4 + 2912/2

      = -2 ±√2916/2 = -2 ± 54/2

      = -56/2, 52/2

      = -28, 26 (negative value is neglected)

    ∴ x = 26

    x + 2 = 28

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