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Can you make this interesting equation into an interesting problem?

January 20, 2012 pm31 9:13 pm
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(x - 2)^2(y - 2)^2 = (x^2 - 4)(y^2 - 4)

This thing has a cute graph (play, and see. I frown on division by zero.)

Can you create a nice problem for… hmm. If you can create a nice problem, do it, and let us know who it it appropriate for.

Context (I’m hiding it, for now).

(Do feel free to modify the equation as you create your problem.)

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5 Comments leave one →
  1. February 21, 2012 pm29 8:52 pm 8:52 pm

    you should google the function for the batman sign. it’s quite complex, unfortunately.

    taka

    • February 26, 2012 am29 1:51 am 1:51 am

      Taka,

      I’ve seen that, same idea, quite complicated, at least the result is pretty.

      Jonathan

  2. Anonymous permalink
    February 25, 2012 pm29 7:52 pm 7:52 pm

    This is ugly.

    -yuliya

    • February 26, 2012 am29 1:54 am 1:54 am

      Yuliya,

      factor what can be factored (right side only). You can cancel from both sides if (be careful of the conditions, you need to check them, and each restriction will give you a y = b or x = a line). Finally you’ll be left with something simpler, that can be expanded then graphed.

      And yes, this ends up giving three intersecting lines.

  3. July 28, 2016 am31 2:15 am 2:15 am

    Thanks for finally talking about >Can you make this interesting equation into an interesting
    problem? | JD2718 <Loved it!

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