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CTK Exchange
Sara
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Feb-03-05, 09:58 PM (EST) |
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"1 equals2???"
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my math teacher 'proofed' to us that 1 was equal to 2 but doing this....
a=b
a^2=ab
a^2-b^2=ab-b^2
(a-b)(a+b)=b(a-b)
a+b=b
b+b=b
2b=b
2=1i know it's know possible for two to equal one and theres something wrong in this system of equations but i can't find it and niether can anyone i ask! please help sara
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Mark
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Feb-04-05, 12:29 PM (EST) |
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2. "RE: 1 equals2???"
In response to message #0
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When you cancel out a term from both sides of an equation, are you using addition, subtraction, multiplication, or division? Think about that and see where it leads you. Consider the term you are cancelling out; what does it boil down to? |
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Gopal Paudel
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Feb-04-05, 01:34 AM (EST) |
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3. "RE: 1 equals2???"
In response to message #0
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You have done an invalid step.
(a-b)(a+b)=b(a-b)
a+b=bbut this is wrong because it comes after you divide the first equation by (a-b) which is equal to zero(a=b therfore a-b=0).
In maths it is invalid to divide an equation by 0.
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