Assume a and b are both non-zero real numbers and a = b.
From the even variance formula, one has:
(a + b) (a – b) = a2 – b2 (1)
Since a = b, (1) can be re-written as following according to the distributive law of multiplication:
2a ( a – b) = a (a – b) (2)
Dividing both sides of (2) by ( a – b), one then gets
2a = a (3)
Now an amazingly conclusion is drawn
2 = 1 (4)
Doesn’t it resemble much the lovely and amusing real world today? It surely does!