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Math Help - Solve the problem.

  1. #1
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    Solve the problem.

    The product of two consecutive integers is 41 more than their sum. Find the integers
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  2. #2
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    I see it as

    x+(x+1)=a

     x(x+1) = a+41

    Can you solve?
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  3. #3
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    Quote Originally Posted by pickslides View Post
    I see it as

    x+(x+1)=a

     x(x+1) = a+41

    Can you solve?
    i need help
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  4. #4
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    Quote Originally Posted by westdivo View Post
    i need help
    Where are you stuck? What don't you understand?
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  5. #5
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    Quote Originally Posted by westdivo View Post
    i need help
    To learn how the previous poster did the translation, try the following:

    Translating Word Problems

    "Number" Word Problems

    To learn how to multiply out the parenthetical, try here.

    To learn how to factor the resulting quadratic (x^2 - x - 42), try here.

    To learn how to solve quadratics in general (including factored ones), try here.

    That should cover any difficulties you're having. If not, please reply with a clear listing of your steps and reasoning so far. Thank you!
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  6. #6
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    Quote Originally Posted by westdivo View Post
    The product of two consecutive integers is 41 more than their sum. Find the integers
    if x is the smaller integer then x + 1 is the larger integer:
    x(x + 1) = x + (x + 1) + 41
    x^2 - x - 42 = 0
    x = 7 or -6
    x + 1 = 8 or -5
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