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Math Help - Algeb

  1. #1
    Member srirahulan's Avatar
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    Algeb

    \mbox{if}\  a^2x^2+6abx+ac+8b^2=0\ \mbox{have equal roots then,prove}\  ac(x+1)^2 =4b^2x\ \mbox{have equal roots.}
    Last edited by srirahulan; May 16th 2012 at 11:17 PM.
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  2. #2
    Member Goku's Avatar
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    Re: Algeb

    use the quadratic formula for the first one and solve:

    \frac{-6ab \pm \sqrt{36a^2b^2 - 4a^2(ac+8b^2)}}{2a^2}

    find the 2 solution and equate......
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  3. #3
    Member srirahulan's Avatar
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    Re: Algeb

    I can't understand.
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  4. #4
    Member Goku's Avatar
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    Re: Algeb

    Suppose that a^2x^2+6abx+ac+8b^2 has equal roots,

    what will this mean....

    First Solve the equation using the quadratic equation and tell me what you get....
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  5. #5
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    Re: Algeb

    \frac{-6ab \pm \sqrt{36a^2b^2 - 4a^2(ac+8b^2)}}{2a^2}
    For roots to be equal, discriminant = 0, right? So:
    36 a^2 b^2 = 4 a^2(ac + 8 b^2); simplifies to b^2 = ac

    Now continue with other equation...
    Last edited by Wilmer; May 17th 2012 at 06:26 AM.
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