Guest Posted March 25, 2008 Report Share Posted March 25, 2008 Being the math crazed maniac I was in school, one of my teachers challenged me to prove that 1=2. Ok, so he said I would fail if I could not prove it.... 3 months later I came upwith the solution.... Where is the Flaw? A=B A^2 = AB A^2 - B^2 = AB - B^2 (A+B)(A-B) = B(A-B) A+B = B 2B = B 2=1 What I did each step: (sorry forum not conducive to spaces) A=B - Given A^2 = AB - Multiplicative Property of Equality (A) A^2 - B^2 = AB - B^2 - Additive Property of Equality (-B^2) (A+B)(A-B) = B(A-B) - Evaluation A+B = B - Reduction 2B = B - Substitution and Addition (since first statement say a=b) 2=1 - Reduction (by B) The "^" means to the power of. A-B = 0 Quote Link to comment Share on other sites More sharing options...
0 grey cells Posted March 25, 2008 Report Share Posted March 25, 2008 A=B A^2 = AB A^2 - B^2 = AB - B^2 (A+B)(A-B) = B(A-B) A+B = B 2B = B 2=1 If A=B ; A-B=0 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 25, 2008 Report Share Posted March 25, 2008 Being the math crazed maniac I was in school, one of my teachers challenged me to prove that 1=2. Ok, so he said I would fail if I could not prove it.... 3 months later I came upwith the solution.... Where is the Flaw? A=B A^2 = AB A^2 - B^2 = AB - B^2 (A+B)(A-B) = B(A-B) A+B = B 2B = B 2=1 What I did each step: (sorry forum not conducive to spaces) A=B - Given A^2 = AB - Multiplicative Property of Equality (A) A^2 - B^2 = AB - B^2 - Additive Property of Equality (-B^2) (A+B)(A-B) = B(A-B) - Evaluation A+B = B - Reduction 2B = B - Substitution and Addition (since first statement say a=b) 2=1 - Reduction (by B) The "^" means to the power of. A-B = 0 You are dividing by zero. (A+B)(A-B) = B(A-B) You then divide by A-B. And if A=B, then A-B is zero. Quote Link to comment Share on other sites More sharing options...
0 rookie1ja Posted March 25, 2008 Report Share Posted March 25, 2008 What I did each step: (sorry forum not conducive to spaces) A=B - Given A^2 = AB - Multiplicative Property of Equality (A) A^2 - B^2 = AB - B^2 - Additive Property of Equality (-B^2) (A+B)(A-B) = B(A-B) - Evaluation A+B = B - Reduction 2B = B - Substitution and Addition (since first statement say a=b) 2=1 - Reduction (by B) The "^" means to the power of. spaces can be kept in code tags ... like this ... A=B - Given A^2 = AB - Multiplicative Property of Equality (A) A^2 - B^2 = AB - B^2 - Additive Property of Equality (-B^2) (A+B)(A-B) = B(A-B) - Evaluation A+B = B - Reduction 2B = B - Substitution and Addition (since first statement say a=b) 2=1 - Reduction (by B)[/code] "power of" can be easily used as "super-script" ... eg. A[sup]2[/sup] = AB both code and super-script are buttons when you write posts and I almost forgot ... already posted in a few variations ... check this thread locked Quote Link to comment Share on other sites More sharing options...
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Guest
Being the math crazed maniac I was in school, one of my teachers challenged me to prove that 1=2.
Ok, so he said I would fail if I could not prove it....
3 months later I came upwith the solution....
Where is the Flaw?
A=B
A^2 = AB
A^2 - B^2 = AB - B^2
(A+B)(A-B) = B(A-B)
A+B = B
2B = B
2=1
What I did each step: (sorry forum not conducive to spaces)
A=B - Given
A^2 = AB - Multiplicative Property of Equality (A)
A^2 - B^2 = AB - B^2 - Additive Property of Equality (-B^2)
(A+B)(A-B) = B(A-B) - Evaluation
A+B = B - Reduction
2B = B - Substitution and Addition (since first statement say a=b)
2=1 - Reduction (by B)
The "^" means to the power of.
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