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45 votes
Does one equal to zero?

User Diego Ferri
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2 Answers

17 votes
17 votes

Answer:

Yes, one does equal to zero

Explanation:

Consider two non-zero numbers x and y such that

x = y.

Then x2 = xy.

Subtract the same thing from both sides:

x^2 – y^2= xy – y^2.

Dividing by (x-y), obtain

x + y = y.

Since x = y, we see that

2 y = y.

Thus 2 = 1, since we started with y nonzero.

Subtracting 1 from both sides,

1 = 0.

I am not good at explaining this type of question. so I copied and pasted the explanation part. I hope this helps

User Napoleon
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2.7k points
16 votes
16 votes

Answer: 1 = 0

Explanation:

The following is a “proof” that one equals zero.

Consider two non-zero numbers x and y such that

x = y.

Then x2 = xy.

Subtract the same thing from both sides:

x2 – y2 = xy – y2.

Dividing by (x-y), obtain

x + y = y.

Since x = y, we see that

2 y = y.

Thus 2 = 1, since we started with y nonzero.

Subtracting 1 from both sides,

User Scottfrazer
by
3.0k points