Question

how can I prove "1=0"?​

Answer 1

Answer:

One Equals Zero!

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,

1 = 0.

What’s wrong with this “proof”?

This Fun Fact is a reminder for students to always check when they are dividing by unknown variables for cases where the denominator might be zero.

The Math Behind the Fact:

The problem with this “proof” is that if x=y, then x-y=0. Notice that halfway through our “proof” we divided by (x-y).

For a more subtle “proof” of this kind, see One Equals Zero: Integral Form.

Answer 2

Step-by-step explanation:

Proof that one equals zero (Using Algebra) The difficulty with both "proofs" is a division by zero error. In the proof that 1 = 0, you divide by zero when you go from step 5 to step 6. In the proof that 0 = 2, you divide by zero when you go from step 8 to step 9.