Sunday, January 3, 2010

Mengisi Magic Square

Posted by hendry_dext

Jika di post sebelumnya, kita sudah membahas magic square alias bujur sangkar ajaib. Di post ini, akan kita singgung lagi magic square. Pokoke ampe kalian *butek*, tapi jadi *ahli*.. hehehe. Berikut adalah teka-teki yang seringkali diajukan guru SD, atau mungkin guru SMP, namun beberapa orang kuliah seringkali kesulitan dalam menjawabnya..
Total baris/kolom/diagonal bagi bujur sangkar ajaib dibawah ini adalah 20. Dua bilangan sudah diberikan. Cobalah cari bilangan-bilangan lainnya dan isikan ke dalam bujur sangkar ajaib ini.
HINT: lihat Mengenal Magic Square.

=======================================================================
PENYELESAIAN
Magic Square ini dapat diselesaikan dengan SPL (sistem persamaan Linear), namun seperti yang sudah dibuktikan sebelumnya bahwa kotak tengah pada magic square 3x3 selalu 1/3 dari jumlah total, artinya kotak di tengah adalah 1/3 * 20 = 6 2/3.

Dengan mengetahui kotak di tengah, kita dapat dengan cepat menyelesaikan magic square ini.

23 comments:

  1. AnonymousJanuary 4, 2010 at 9:26 PM

    Waduh, uda saya cari ga ada penyelesaian bilangan bulatnya....
    Saya Dapetnya:
    ____________________________
    | 04 | 11 | 05 |
    | 23/3 | 20/3 | 17/3 |
    | 25/3 | 07/3 | 28/3 |
    ----------------------------
    Saya mencarinya dengan sistem persamaan linier biasa, tapi lumayan ampuh... jika ada penyelesaian bilangan bulatnya, segera kasi tau ya, penasaran nih, menurut saya tak ada penyelesaian bilangan bulat untuk square ini.

    ReplyDelete
  2. FirmanMarch 10, 2010 at 5:17 PM

    Emang magic square ini bisa diisi dengan bilangan bulat?

    ReplyDelete
  3. AnonymousApril 1, 2010 at 10:35 AM

    ada cara cpet nentuinnya ga???

    ReplyDelete
  4. AnonymousMay 30, 2010 at 2:03 PM

    masih confuse kayaknya

    ReplyDelete
  5. AnonymousSeptember 22, 2010 at 11:29 PM

    trus kalau kotaknya 5 x 5, apakah sama juga caranya?

    ReplyDelete
  6. AnonymousDecember 6, 2010 at 2:35 PM

    kasih tau cara penyelesaiannya dong ..
    thx

    ReplyDelete
  7. LDII JatimFebruary 28, 2011 at 7:39 AM

    Tak kirain magic square isinya cuma bilangan bulat, ternyata bisa pecahan ya..tambah ilmu niy..

    ReplyDelete
  8. Hotel in LondonFebruary 28, 2011 at 7:40 AM

    Jaman saya dulu kok ga ada materi magic square ya. Apa ini baru ada belakangan ini? Kalau ada, anak saya harus saya kasih tau niy.. btw, makasih infonya

    ReplyDelete
  9. AnonymousJune 18, 2012 at 1:27 PM

    lebih seru klo penyelesaiannya bilangan bulat...
    hhe

    ReplyDelete
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