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Math Help - Algeb

  1. #1
    Member srirahulan's Avatar
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    Post Algeb

    if the quadratic equation 2x^2-qx+r=0 have the roots  (\alpha+1),(\beta+2) find out the value of q,r in terms of b,c. x^2-bx+c=0 the quadratic equation have the real roots  \alpha,\beta and also \ \alpha\geq\betaif \ \alpha=\betaprove q^2=4(2r+1)
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  2. #2
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    Re: Algeb

    Quote Originally Posted by srirahulan View Post
    if the quadratic equation 2x^2-qx+r=0 have the roots  (\alpha+1),(\beta+2) find out the value of q,r in terms of b,c. x^2-bx+c=0 the quadratic equation have the real roots  \alpha,\beta and also \ \alpha\geq\betaif \ \alpha=\betaprove q^2=4(2r+1)
    Using the product of the roots we get (\alpha +1)(\beta +2)=\frac{r}{2} and (\alpha)(\beta)=c

    Using the sum of the roots we get \alpha +\beta+3 =\frac{q}{2} and \alpha +\beta=b
    Last edited by Plato; May 28th 2012 at 07:39 AM.
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