a² = (a-1)*(a+1) + 1
Name:
Anonymous
2006-10-20 18:25
a^2 = (a-1)*(a+1) + 1
example:
999^2 = (998)*(1000) + 1
998001 = 998000 + 1
isn't it great?
well, you can change the 1 by whatever:
a^2 = (a-n)*(a+n) + n^2
Name:
Anonymous
2006-10-20 18:46
1 √7984009 √7984009 1
x = ⎯ - ⎯⎯⎯⎯⎯⎯⎯⎯ ∨ x = ⎯⎯⎯⎯⎯⎯⎯⎯ + ⎯
4 4 4 4
Name:
Anonymous
2006-10-20 19:16
>>1
Otherwise known as the difference of two squares.
Name:
Anonymous
2006-10-20 20:53
lol reinventing the wheel
Name:
Anonymous
2006-10-20 23:27
so like, 3^2 = 2*4 - 1
I dig
Name:
Anonymous
2006-10-21 0:37
OMFGBBQ!!!!!!!!!!!!!!!!!!!!!!!!!
You must be mexican, because they suck at math.
Name:
Anonymous
2006-10-24 8:58
:O
Name:
Anonymous
2006-10-24 10:48
((a-1)*(a+1)) + 1 = (a^2+a-a-1)+1 = a^2
Name:
Anonymous
2006-10-24 10:51
Name:
Anonymous
2006-10-25 4:30
>>9
10*2 = 2*4 + 8
im smart lol
Name:
Anonymous
2006-10-25 8:02
a^2 = (a-1+1)^2 = ((a-1)+1)((a-1)+1) = (a-1)^2 + 2(a-1) + 1
(a-1)^2 = ((a+1)-2)^2 = ((a+1)-2)((a+1)-2) = (a+1)^2 - 4(a+1) + 4
a^2 = (a+1)^2 - 4(a+1) + 2(a-1) + 5
limit of a^2 as a approaches 0 = limit (a+1)^2 - 4(a+1) + 2(a-1) + 5 as a approaches 0
= (0+1)^2 - 4(0+1) + 2(0-1) + 5
= 1 - 4 - 2 + 5
= 0
problem solved.