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Math Help - Inequalities

  1. #1
    Member
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    Mar 2007
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    England
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    Inequalities

    a) Find the real values of x for which

    (x^3)-4(x^2)-x+4>=0, which I got to be x>=4 and -1<=x<=1. That's right, right?

    It's the next part that I'm really stuck with

    b) Find the three lines in the (x,y) plane on which

    (x^3)-4(x^2)y-x(y^2)+4(y^3)=0.

    I'll be really grateful for your help.
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  2. #2
    Junior Member
    Joined
    Jun 2013
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    Bangalore
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    Re: Inequalities

    Solution :

    Given x-4xy-xy+4y=0
    (x-4y)(x-y)(x+y)=0
    the three line on (x,y) plain are
    y=-x
    y=x
    y=x/4
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