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1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321
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1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 +10= 1111111111
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9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888
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Brilliant, isn't it?
And look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
Brilliant, isn't it?
And look at this symmetry:
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321
-----------------------------------------------------------------------------------------------
Can you equate 3 and 2 by some mathematics logic?
See this illustration:
-6 = -6
9-15 = 4-10
adding 25/4 to both sides:
9-15+25/4 = 4-10+25/4
Changing the order
9+25/4-15 = 4+25/4-10
(this is just like a square + b square - two a b = (a-b)square.)
Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.
So it can be expressed as follows:
(3-5/2)(3-5/2) = (2-5/2)(2-5/2)
Taking positive square root on both sides:
3 - 5/2 = 2 - 5/2
3 = 2
See this illustration:
-6 = -6
9-15 = 4-10
adding 25/4 to both sides:
9-15+25/4 = 4-10+25/4
Changing the order
9+25/4-15 = 4+25/4-10
(this is just like a square + b square - two a b = (a-b)square.)
Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.
So it can be expressed as follows:
(3-5/2)(3-5/2) = (2-5/2)(2-5/2)
Taking positive square root on both sides:
3 - 5/2 = 2 - 5/2
3 = 2
Can you equate 3 and 2 by some mathematics logic?
See this illustration:
-6 = -6
9-15 = 4-10
adding 25/4 to both sides:
9-15+25/4 = 4-10+25/4
Changing the order
9+25/4-15 = 4+25/4-10
(this is just like a square + b square - two a b = (a-b)square.)
Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.
So it can be expressed as follows:
(3-5/2)(3-5/2) = (2-5/2)(2-5/2)
Taking positive square root on both sides:
3 - 5/2 = 2 - 5/2
3 = 2
-----------------------------------------------------------------------------------------------
See this illustration:
-6 = -6
9-15 = 4-10
adding 25/4 to both sides:
9-15+25/4 = 4-10+25/4
Changing the order
9+25/4-15 = 4+25/4-10
(this is just like a square + b square - two a b = (a-b)square.)
Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S.
So it can be expressed as follows:
(3-5/2)(3-5/2) = (2-5/2)(2-5/2)
Taking positive square root on both sides:
3 - 5/2 = 2 - 5/2
3 = 2
-----------------------------------------------------------------------------------------------
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