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Thread: Any help with this question?

  1. #1 Any help with this question? 
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    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.


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  3. #2 Re: Any help with this question? 
    . DrRocket's Avatar
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    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.


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  4. #3 Re: Any help with this question? 
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    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.
    A & B are the actual root values of the first equation i.e is they are constants. Actually i am required to find the symmetric function of A & B. Then use the function to find the new equation with its given root using the formula
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  5. #4 Re: Any help with this question? 
    . DrRocket's Avatar
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    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.
    A & B are the actual root values of the first equation i.e is they are constants. Actually i am required to find the symmetric function of A & B. Then use the function to find the new equation with its given root using the formula
    That is essentially what I said. Go ahead now and do it.
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  6. #5 Re: Any help with this question? 
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    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.
    A & B are the actual root values of the first equation i.e is they are constants. Actually i am required to find the symmetric function of A & B. Then use the function to find the new equation with its given root using the formula
    That is essentially what I said. Go ahead now and do it.
    The solution I arrived at as the new equation is:

    I will appreciate if it is commented on.
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  7. #6 Re: Any help with this question? 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.
    A & B are the actual root values of the first equation i.e is they are constants. Actually i am required to find the symmetric function of A & B. Then use the function to find the new equation with its given root using the formula
    That is essentially what I said. Go ahead now and do it.
    The solution I arrived at as the new equation is:

    I will appreciate if it is commented on.
    as long as you have made no mistakes when plugging in to the equation:



    then i see no reason why it should be wrong. (havent tried it myself, as its extremely tedious)
    ------------------




    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


    -------------------
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  8. #7 Re: Any help with this question? 
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    Quote Originally Posted by Heinsbergrelatz
    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    Quote Originally Posted by DrRocket
    Quote Originally Posted by didact
    If the roots of the equation are and , find the equation whose roots are and .

    The variables has no assigned values.
    Solve the first equation to find a and b in terms of z, m and n.
    A & B are the actual root values of the first equation i.e is they are constants. Actually i am required to find the symmetric function of A & B. Then use the function to find the new equation with its given root using the formula
    That is essentially what I said. Go ahead now and do it.
    The solution I arrived at as the new equation is:

    I will appreciate if it is commented on.
    as long as you have made no mistakes when plugging in to the equation:



    then i see no reason why it should be wrong. (havent tried it myself, as its extremely tedious)
    Thanks, that is exactly what i did. And its sure tedious for a rudimental question.
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