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Math Help - x cubed minus x squared is less than or equal to 0

  1. #1
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    x cubed minus x squared is less than or equal to 0

    ...

    i'm baffled, yet again. do i just add x squared to both sides? then i get x cubed is less than or equal to x squared, and yet again, i'm stumped.

    help?
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  2. #2
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    Quote Originally Posted by jjkelder View Post
    ...

    i'm baffled, yet again. do i just add x squared to both sides? then i get x cubed is less than or equal to x squared, and yet again, i'm stumped.

    help?

    x^3-x^2\leq 0

    Factorise ... x^2(x-1) \leq 0 and you can see when this is <=0
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  3. #3
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    Quote Originally Posted by a tutor View Post
    x^3-x^2\leq 0

    Factorise ... x^2(x-1) \leq 0 and you can see when this is <=0
    Draw a graph of y = x^3 - x^2 = x^2(x-1). You want the values of x for which the graph is on or under the x-axis.
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