a=b
let's multiply by a
a^2 = ab
I add a^2 - 2ab to both the sides
a^2 + a^2 - 2ab = ab + a^2 - 2ab
2(a^2 - ab) = a^2 - ab
now I can divide by (a^2 - ab)
so I get
2=1
If you look back at the initial assertion a=b, a^2-ab = 0
but why shouldn't I divide by zero??
Why couldn't I divide by zero?
Someone stood up and said "We can subtract 5 from 4 so I invent the negative numbers! 0-1= -1 !!
Later, someone tried to extract the square root of -1. Again: impossible!
But the stood up like a revolutionary should do, and sentenced "sqrt of -1 = i!!" The imaginary unit!
Now, I want to stand up as well.
1/0 = "u"
Let the Undefinite Numbers class see the light! Thus I solve for 2u = 1u ! |
