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March 24, 2017

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The square of an integer is 12 more than the integer. Find the integer

  • college - ,

    x + 12 = x^2

    x^2 - x - 12 = 0
    (x + 3)(x - 4) = 0

    x + 3 = 0
    x = -3
    This obviously doesn't work.

    x - 4 = 0
    x = -4
    This doesn't work, but since both the positive and negative values of integers yield the same value when squared, let's try 4.

    4^2 = 16
    This is 12 more than the original integer 4.

  • college - ,

    from Pink Floyd's
    (x + 3)(x - 4) = 0
    x = -3 or x=4

    check: is (-3)^3 12 more than -3 ? yes!
    is (4^) 12 greater than 4 ? Yes!

    so the numbers are either 4 or -3

  • college - ,

    By George, you're right.. just a little bit of math errors on my part.

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