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6 December, 15:47

If the square of a positive integer is added to 2 times the integer the result is 48. find the integer.

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  1. 6 December, 16:01
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    6

    Step-by-step explanation:

    let n be the positive integer, hence

    n² + 2n = 48 (subtract 48 from both sides)

    n² + 2n - 48 = 0 ← in standard form

    (n + 8) (n - 6) = 0 ← in factored form

    equate each factor to zero and solve for n

    n + 8 = 0 ⇒ n = - 8

    n - 6 = 0 ⇒ n = 6

    Since n is a positive integer then n = 6
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