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Just For Fun Quiz
/ Find the Mistake: 2=1 Proof
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Can you name the mistake in this proof that 2=1?
by
mrsiriustab
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April Fools (Cough Cough) Logic Puzzle
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Proof
Where is it?
Explanation
Do this!
It is required!
1. x=y≠0
Given
2. x^2=xy
Multiply by x
3. x^2-y^2=xy-y^2
Subtract y^2
4. (x+y)(x-y)=y(x-y)
Factoring
5. x+y=y
Dividing by x-y
6. y+y=y
Substitution: x=y
7. 2y=y
Combining like terms
8. 2=1
Dividing by y, knowing y≠0
Is there any mistake in the proof?
(Fills in upon completion of the quiz)
1. x=y≠0
(Fills in upon completion of the quiz)
2. x^2=xy
(Fills in upon completion of the quiz)
3. x^2-y^2=xy-y^2
(Fills in upon completion of the quiz)
4. (x+y)(x-y)=y(x-y)
(Fills in upon completion of the quiz)
5. x+y=y
(Fills in upon completion of the quiz)
6. y+y=y
(Fills in upon completion of the quiz)
7. 2y=y
(Fills in upon completion of the quiz)
8. 2=1
(Fills in upon completion of the quiz)
Is there any mistake in the proof?
(Fills in upon completion of the quiz)
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