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Nonlinear Systems of Equations Question

  1. Nov 8, 2006 #1
    Ive been working on a bunch of non linear systems problems for homework and cant figure this one out:

    y=xcubed
    x-y=0

    I get to the substitution stage and get x-xcubed=0, but you cant factor that so im wondering what you do next to get the answers for x, and y.

    Thanks in advance for any help
     
  2. jcsd
  3. Nov 8, 2006 #2
    Are you sure you can't factor that? Can you factor out an x?
     
  4. Nov 8, 2006 #3
    if it can be factored i dont know how to do it lol
     
  5. Nov 8, 2006 #4

    radou

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    These are two functions: f(x) = x^3 and g(x) = x. You have to find the points of interception, i.e. the points x for which f(x) = g(x).
     
  6. Nov 8, 2006 #5
    i appologize but i dont understand what your talking about
     
  7. Nov 8, 2006 #6

    radou

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    Nevermind. Well, you said:

    x - x^3 = 0 => x (1 - x^2) = 0.

    I assume you'll know how to solve this problem now.
     
  8. Nov 8, 2006 #7
    ahh! i got you i feel like an idiot lol. I havnt done factoring for a while and I thought if you take the x out you get x-x^2 still

    thanks for the help
     
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