09. February 2007

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????

Related Posts you may like to Read...


  • Mathematical Proof: Girls are Evil
  • Amazing mathematical puzzle Just try answering it……
  • Can you believe this image ?
  • Google Search Result contains mobile version of YouTube !!
  • sardar and maths..

  • one Comment

    MyAvatars 0.2

    1. Vinayak Shukl From INDIA (INDIA) Wrote Using Internet Explorer Internet Explorer 7.0 on Windows 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!!!!

    Post Comment

    The following tags are permitted: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>