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  1. #1
    Member OnMyWayToBeAMathProffesor's Avatar
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    Smile Tricky word problem

    i am stuck on these 2 problems, any help would be appreciated!

    1.If 5 times the square of an integer is decreased by 32 times the number the result is 21. Find the number.

    2.the sum of the squares of two positive consecutive integers is 113. Find the numbers.

    thanxs!
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  2. #2
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    1.If 5 times the square of an integer is decreased by 32 times the number the result is 21. Find the number.

    2.the sum of the squares of two positive consecutive integers is 113. Find the numbers.
    1. 5n^2  - 32n = 21

    2.  n^2  + \left( {n + 1} \right)^2  = 113
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  3. #3
    Member OnMyWayToBeAMathProffesor's Avatar
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    Smile thanxs

    thanks for the formulas but how do i solve them?
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  4. #4
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    thanks for the formulas but how do i solve them?
    And you are on the way to being a mathematics professor??????
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  5. #5
    Member OnMyWayToBeAMathProffesor's Avatar
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    someday, but right now i need help, thank you
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by OnMyWayToBeAMathProffesor View Post
    someday, but right now i need help, thank you
    Quote Originally Posted by Plato View Post
    1. 5n^2  - 32n = 21

    2.  n^2  + \left( {n + 1} \right)^2  = 113
    Here are some hints.

    Get all the terms on one side and make sure everything is expanded fully. the first equation becomes:

    5n^2 - 32n - 21 = 0

    the second equation becomes:

    2n^2 + 2n - 112 = 0

    These forms should look familiar, they are quadratic equations. we are expecting integer solutions so you should be able to factor, but if you are lazy, you can use the quadratic formula

    Can you take it from here?
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  7. #7
    Member OnMyWayToBeAMathProffesor's Avatar
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    Smile thanxs

    thank you very much, you have helped a lot. also i think factoring is easier than the quadratic formula. Also i thank Plato for the formulas.
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