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4 October, 22:38

What multiplies to - 216 but adds to 6

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  1. 4 October, 22:56
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    xy = - 216

    x + y = 6

    x + y = 6

    x - x + y = - x + 6

    y = - x + 6

    xy = - 216

    x (-x + 6) = - 216

    x (-x) + x (6) = - 216

    -x² + 6x = - 216

    -x² + 6x + 216 = 0

    -1 (x²) - 1 (-6x) - 1 (216) = 0

    -1 (x² - 6x - 216) = 0

    -1 - 1

    x² - 6x - 216 = 0

    x² - 18x + 12x - 216 = 0

    x (x) - x (18) + 12 (x) - 12 (18) = 0

    x (x - 18) + 12 (x - 18) = 0

    (x + 12) (x - 18) = 0

    x + 12 = 0 or x - 18 = 0

    - 12 - 12 + 18 + 18

    x = - 12 or x = 18

    x + y = 6 x + y = 6

    -12 + y = 6 18 + y = 6

    + 12 + 12 - 18 - 18

    y = 18 y = - 12

    (x, y) = (-12, 18) or (x, y) = (18, - 12)

    The two numbers that multiply to - 216 and add up to 6 are - 12 and 18.
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