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28 August, 22:40

What two numbers add up to 39 and multiply to - 880?

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  1. 28 August, 22:59
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    X + y = 39

    xy = - 880

    x + y = 39

    x - x + y = - x + 39

    y = - x + 39

    xy = - 880

    x (-x + 39) = - 880

    x (-x) + x (39) = - 880

    -x² + 39x = - 880

    -x² + 39x + 880 = 0

    -1 (x²) - 1 (-39x) - 1 (-880) = 0

    -1 (x² - 39x - 880) = 0

    -1 - 1

    x² - 39x - 880 = 0

    x² - 55x + 16x - 880 = 0

    x (x) - x (55) + 16 (x) - 16 (55) = 0

    x (x - 55) + 16 (x - 55) = 0

    (x + 16) (x - 55) = 0

    x + 16 = 0 or x - 55 = 0

    - 16 - 16 + 55 + 55

    x = - 16 or x = 55

    x + y = 39

    -16 + y = 39

    + 16 + 16

    y = 55

    (x, y) = (-16, 55)

    or

    x + y = 39

    55 + y = 39

    - 55 - 55

    y = - 16

    (x, y) = (55, - 16)

    The two numbers that add up to 39 and multiply to - 880 are 55 and - 16.
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