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4 February, 23:56

What two numbers multiply together and equal 16 and add together and equal - 2?

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Answers (2)
  1. 5 February, 00:13
    0
    There is a solution, but you might not have learned how to do it yet

    in middle school.

    If you've learned to use the quadratic formula to solve a quadratic equations,

    then you can do this.

    The first requirement says: ' x ' times ' y ' = 16

    The second requirement says: (x + y) = - 2

    Take the second requirement, and subtract ' x ' from each side:

    y = - x - 2

    Substitute this into the first requirement:

    ' x ' times (-x - 2) = 16

    Eliminate parentheses:

    -x² - 2x = 16

    Subtract 16 from each side:

    -x² - 2x - 16 = 0

    Multiply each side by - 1:

    x² + 2x + 16 = 0

    Solve this with the quadratic formula, and you get two solutions,

    which are the two numbers that satisfy both requirements.

    The numbers are

    -1 + √-15

    -1 - √-15

    Check:

    - - Product: (-1 + √-15) times (-1 - √-15) = 1 + 15 = 16

    - - Sum = - 1 + √-15 - 1 - √-15 = - 2

    They work.

    yay
  2. 5 February, 00:19
    0
    None, because both numbers must be negative in order to get a positive answer, or both positive. However, - 2 means that there is at least one negative number, or two negative numbers. the only option : - 1 + (-1) = - 2. So there is no real solution.
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