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Is this nonlinear equation solvable?

  1. Feb 5, 2013 #1
  2. jcsd
  3. Feb 5, 2013 #2


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    Substitute a=xy and b=xz and solve the linear system.

    Another way you can do it is by factoring out x.
  4. Feb 5, 2013 #3
    It is giving you a solution,
    y=\frac{1}{5x}\qquad z=\frac{4}{5x}
    In fact that is an infinite number of solutions, since [itex]x[/itex] is just a free-parameter. You get this because not all of your equations are independent. In other words, one of the equations can be written as a linear combination of the other two.
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