Saturday, May 22, 2010

Mathematical Proof that 2 = 1?

a = b
'a' is equal to 'b'

ab = b^2
multiply each side by 'b'

ab-a^2 = b^2-a^2
subtract each side by 'a^2'

a(b-a) = b^2-a^2
factor the left side

a(b-a) = (b-a)(b+a)
factor the right side

a = b+a
divide each side by '(b-a)'

a = a+a
substitute 'b' for 'a'

a = 2a
simplify

1 = 2
divide each side by 'a'

mind = blown?