Mathematical Proof that 1=0
Given that a and b are integers such that a = b + 1,
Prove: 1 = 0
1. a = b + 1 (Given)
2. (a-b)a = (a-b)(b+1) (Multiplication Prop. of =)
3. a2 - ab = ab + a - b2 - b (Distributive Property)
4. a2 - ab -a = ab + a -a - b2 - b (Subtraction Prop. of =)
5. a(a - b - 1) = b(a - b - 1) (Distributive Property)
6. a = b (Division Property of = )
7. b + 1 = b (Transitive Property of = (Steps 1, 7) )
8. Therefore, 1 = 0 (Subtraction Prop. of =)
Can u tell me where the Flaw is????
Trackback
RSS Feed
(INDIA) on
(TAIWAN) on
(UNITED STATES) on
(PHILIPPINES) on 
Related Posts you may like to Read...
one Comment
1.
Vinayak Shukl From
(INDIA)
Wrote Using
Internet Explorer 7.0 on
Windows XP on 06. February 2008 at 6:36 pm
the flaw is in the 5th step:
a(a-b-1)=b(a-b-1)
but,
a-b-1=1-0-1
=0
thus, you are dividing the equation by 0, which is NOT possible!!!!