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    The following curve is defined by the equation  \displaystyle y=x^3 -6ax^2+a^2 , where  a is a real number.
    Given that the curve has 3 distinct real roots, find the range of values that  a can take.
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    (Original post by Ano123)
    The following curve is defined by the equation  \displaystyle y=x^3 -6ax^2+a^2 , where  a is a real number.
    Given that the curve has 3 distinct real roots, find the range of values that  a can take.
    https://en.wikipedia.org/wiki/Cubic_...e_discriminant
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    (Original post by Ano123)
    The following curve is defined by the equation  \displaystyle y=x^3 -6ax^2+a^2 , where  a is a real number.
    Given that the curve has 3 distinct real roots, find the range of values that  a can take.
    Draw some examples of a graph of a cubic which has 3 distinct real roots. What do you notice about the turning points?
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    (Original post by Ano123)
    The following curve is defined by the equation  \displaystyle y=x^3 -6ax^2+a^2 , where  a is a real number.
    Given that the curve has 3 distinct real roots, find the range of values that  a can take.
    Look TeeEm 's Hard paper N
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    You really need to start including some of your own thoughts and attempts to your questions before posting them on TSR.
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    (Original post by Zacken)
    You really need to start including some of your own thoughts and attempts to your questions before posting them on TSR.
    A threat? Aimed at me??
    I don't need to do anything.
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    (Original post by Ano123)
    A threat? Aimed at me??
    No, not a threat... not sure where you got that from.
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    (Original post by Zacken)
    No, not a threat... not sure where you got that from.
    The pm you sent me saying, and I quote 'you will do me in'.
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    (Original post by Ano123)
    The pm you sent me saying, and I quote 'you will do me in'.
    lol you're off your rocker mate
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    (Original post by Ano123)
    The pm you sent me saying, and I quote 'you will do me in'.
    wht he means is ur on his turf and u been chattin maths shizzle so he wants to fight u.
 
 
 
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