Originally Posted by draconum
Thats quite clear, you can't just divide b out of each side, you can only divide the number, thus it's completly screwed. Plus I dought A^2 = AB is hardly proven. Because if A was squared it would = a number, lets say:
A=2 B/=A (cannot equal) because if it was equal, it would also be considered A^2, so each side cannot equal each other from the start.
(starts to think...) unless:
A^2 = AB
(A^2)/A = (AB)/A
Meh it's certainly a f**ked up equation.
I think you're confusing your algebra a bit. It's perfectly legal to divide B from both sides of the equation:
2B = B
2 = 1
The B variable cancels from both sides. Think about it as if B were a number. In fact, B is
a number, we just don't know which one.
Also, AČ is equal to AB since we already know that A is equal to B.
AČ = AB
AA = AB
Cancel the A's:
A = B
This returns our already stated assumption therefore validating the procedure. Also, when you say that AB would be considered to be AČ, that's exactly what I'm saying when I set AČ equal to AB. You sort of proved that step to yourself in your question.