The product of two consecutive positive integers is 56. Find the two integers

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The product of two consecutive positive integers is 56. Find the two integers

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Kim Chi 5 years 2021-08-03T17:51:30+00:00 1 Answers 28 views 0

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  1. thuthao
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    2021-08-03T17:52:31+00:00
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    Answer:

    Two consecutive integers are of the form

    x and x + 1

    Their product is equal to 56

    x(x + 1) = 56

    Solve and find the two numbers x and x + 1. The above equation may be written as follows

    x2 + x – 56 = 0

    Factor and solve

    (x – 7)(x + 8) = 0

    solutions: x = 7 , x = -8

    x= – 8 is not valid since the number sought must be positive. Hence

    x = 7 and x + 1 = 8 are the two consecutive numbers.

    Step-by-step explanation:

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