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28 June, 17:28

What adds ups to 5 but multiplies to give you 12

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Answers (1)
  1. 28 June, 17:46
    0
    X + y = 5

    xy = 12

    x + y = 5

    y = - x + 5

    xy = 12

    x (-x + 5) = 12

    x (-x) + x (5) = 12

    -x² + 5x = 12

    - 12 - 12

    -x² + 5x - 12 = 0

    x² - 5x + 12 = 0

    x = 5 ± √25 - 48

    2

    x = - 5 ± √-23

    2

    x = - 5 ± 4.79i

    2

    x = - 5 + 4.79i or x = - 5 - 4.79i

    2 2

    x = - 2.5 + 2.395i or x = - 2.5 - 2.395i

    y = - 2.5 - 2.395i or y = - 2.5 + 2.395i

    The two numbers that add up to 5 and multiply to 12 is - 2.5 ± 2.395i, which is - 2.5 + 2.395i and - 2.5 - 2.395i.
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