Matematika :

Sep 3, 2011

Matematika Asyik : Menyatakan suatu bilangan dengan Pengkuadratan + Penjumlahan

Satu lagi puzzle matematika yang sangat menarik adalah menyatakan suatu bilangan dengan menggunakan digit-digit dari bilangan itu sendiri secara berurutan dalam bentuk penjumlahan dan pengkuadratan. Salah satu contohnya adalah 3252 = 3+((22)2+52+(22)2)2

Selanjutnya bentuk 3+((22)2+52+(22)2)2 cukup hanya ditulis dalam bentuk 3252 = 3+(((2))+(5)+((2))), dimana tanda "( x )" bermakna kuadrat dari x.
Berikut beberapa bentuk puzzle tersebut yang saya ambil dari Math Magic
81 = (8+1)89 = 8+(9)136 = (1+(3))+(6)264 = 2+6+((4))
333 = (3)+((3)+(3))337= ((3))+((3)+7)425 = (4+((2)))+(5)441 = (4+(4)+1)
445 = 4+((4)+5)1250 = ((1+(2)))+((5))+01251 = ((1+(2)))+((5))+11252 = ((1+(2)))+((5))+2
1253 = ((1+(2)))+((5))+31254 = ((1+(2)))+((5))+41255 = ((1+(2)))+((5))+51256 = ((1+(2)))+((5))+6
1257 = ((1+(2)))+((5))+71258 = ((1+(2)))+((5))+81259 = ((1+(2)))+((5))+91306 = 1+(3)+0+((6))
1346 = 1+(3+4)+((6))1386 = 1+((3))+8+((6))1521 = ((1+5)+2+1)1525 = (1+(5)+(2))+((5))
1634 = (1+(6))+(3)+((4))1636 = (1+(6)+3)+(6)1674 = (1+(6))+(7)+((4))1693 = (1+(6))+(9+(3))
1745 = (1+7)+((4)+(5))2025 = (((2))+0+(2)+(5))2116 = ((2+1)+1+(6))2225 = ((2+(2))+(2))+((5))
2401 = ((2+4+0+1))2403 = 2+((4+0+3))2407 = 2+4+0+((7))2465 = (((2)))+((4)+6+(5))
2536 = (((2))+(5)+(3))+(6)2576 = (((2)))+((5)+7)+((6))2601 = (2+(6+0+1))2624 = ((2)+(6))+(((2))+(4))
2713 = (2+(7)+1)+(3)3252 = 3+(((2))+(5)+((2)))3258 = (3)+((2+5)+8)3364 = ((3+3)+6+(4))
3367 = 3+(3+6+(7))3706 = (3)+((7))+0+((6))3721 = (3+(7)+(2+1))3786 = ((3))+((7))+8+((6))
3969 = ((3)+9+(6)+9)4112 = ((4+(1+1)))+((2))4225 = ((4+2)+(2)+(5))4241 = (4)+(((2)+4)+1)
4356 = ((4)+(3)+5+(6))5381 = ((5)+(3))+((8)+1)5475 = ((5))+((4)+(7))+((5))5785 = ((5)+7)+((8)+5)
6572 = 6+5+((7+2))6579 = 6+5+7+((9))6603 = 6+(6)+0+(((3)))6649 = (6)+(6)+(4)+((9))
6669 = (6)+(6)+(6)+((9))6730 = (6+7)+(((3)))+06731 =(6+7)+(((3)))+16732 =(6+7)+(((3)))+2
6733 =(6+7)+(((3)))+36734 =(6+7)+(((3)))+46735 =(6+7)+(((3)))+56736 =(6+7)+(((3)))+6
6737 =(6+7)+(((3)))+76738 =(6+7)+(((3)))+86739 =(6+7)+(((3)))+96779 = (6+7)+(7)+((9))
6934 = (6)+(9)+(((3)))+((4))7232 = 7+(2+((3))+2)7234 = 7+2+(((3))+4)7274 = (7)+((2+7)+4)
7276 = (7)+2+((7)+(6))7328 = ((7)+3)+((2)+(8))7618 = (7)+(6+(1+8))7634 = (7)+(6+((3)))+(4)
7699 = (7)+(6+(9))+(9)7744 = (7+(7)+(4)+(4))7906 = (7)+((9))+0+((6))7928 = 7+(9+((2))+(8))
7969 = (7+(9))+(6+9)8136 = ((8+1)+(3))+(6)8208 = ((8))+((2))+0+((8))8228 = ((8))+(2+(2))+((8))
8281 = (8+2+(8+1))8289 = 8+(2+8+(9))8970 = 8+((9))+((7))+08971 = 8+((9))+((7))+1
8972 = 8+((9))+((7))+28973 = 8+((9))+((7))+38974 = 8+((9))+((7))+48975 = 8+((9))+((7))+5
8976 = 8+((9))+((7))+68977 = 8+((9))+((7))+78978 = 8+((9))+((7))+88979 = 8+((9))+((7))+9
9125 = ((9)+1)+((2+5))9127 = ((9)+1)+2+((7))9162 = ((9))+((1+6)+2)9216 = (9+((2+1))+6)
9346 = (9)+(((3)))+((4)+(6))9410 = ((9)+(4))+1+09411 = ((9)+(4))+1+19412 = ((9)+(4))+1+2
9413 = ((9)+(4))+1+39414 = ((9)+(4))+1+49415 = ((9)+(4))+1+59416 = ((9)+(4))+1+6
9417 = ((9)+(4))+1+79418 = ((9)+(4))+1+89419 = ((9)+(4))+1+99434 = 9+(4)+(((3))+(4))
9474 = ((9)+(4))+(7)+(4)9490 = ((9)+(4))+(9)+09491 = ((9)+(4))+(9)+19492 = ((9)+(4))+(9)+2
9493 = ((9)+(4))+(9)+39494 = ((9)+(4))+(9)+49495 = ((9)+(4))+(9)+59496 = ((9)+(4))+(9)+6
9497 = ((9)+(4))+(9)+79498 = ((9)+(4))+(9)+89499 = 9+((4)+(9))+(9)9634 = (9+6)+(((3))+(4))
9769 = ((9)+7)+((6)+9)9925 = ((9))+(9+(2+5))

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