老何快来看, Mathematical Proof that 1=0

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TIFF

晴空一鹤排云上~~遥引诗情到碧霄
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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 =)
 
这个题目本来就是我出的,现在满世界转了一圈又转回来了 :)
 
才转到我这儿来。:mad:
 
a-b-1=0

so step 5 is wrong

divide by 0
 
Yes, you are correct.
 
踢老师,你到底是教什么课的?EE,编程还是数学?
 
LZ,逗老何玩呢?
 
何总,我在音乐城里存的歌不动欢了~~:(:blowzy::p

突然好多都变成这样了~~

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4. a2 – ab -a = ab + a -a – b2 – b (Subtraction Prop. of =)
5. a(a – b – 1) = b(a – b – 1) (Distributive Property)
hmmm
a(2-b-1)=b(a-2-1)
a(1-b)=b(a-1)
 
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