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Quadratic Question

  1. Apr 25, 2007 #1
    Quadratic Question....

    I have no problem solving this problem. My question is about the wording.

    1. The problem statement, all variables and given/known data
    Find two consecutive integers whose product equals 30.

    2. Relevant equations

    3. The attempt at a solution
    x(x+1)=30-->x^2 +x-30=0---->(x+6)(x-5)=o---> x={-6,5}

    My problem is that these integers are not "consecutive." I can see that their absolute values are. Either the problem was worded incorrectly, or I have forgotten the definition of an Integer. Any thoughts?

    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Apr 25, 2007 #2


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    Homework Helper

    The solutions give you x, not x and x+1. There indeed are two solutions. What are they?
  4. Apr 25, 2007 #3


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    Homework Helper

    You've misinterpreted your results my friend. Negative 6 and positive 5 are NOT the "two consecutive integers", they are the solutions to your problem. They are the two solutions to x.

    P.S. Oops, I'm too late, hehe XD
    Last edited: Apr 25, 2007
  5. Apr 25, 2007 #4
    Nice catch. I am sitting here trying to help my girlfriend get this but I could not figure out where I went wrong!
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