# Difference between revisions of "Proof that 2=1"

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− | + | ==Proof== | |

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+ | 1) <math>a = b</math>. Given. | ||

+ | |||

+ | 2) <math>a^2 = ab</math>. Multiply both sides by a. | ||

+ | |||

+ | 3) <math>a^2-b^2 = ab-b^2</math>. Subtract <math>b^2</math> from both sides. | ||

+ | |||

+ | 4) <math>(a+b)(a-b) = b(a-b)</math>. Factor both sides. | ||

+ | |||

+ | 5) <math>(a+b) = b</math>. Divide both sides by <math>(a-b)</math> | ||

+ | |||

+ | 6) <math>a+a = a</math>. Substitute <math>a</math> for <math>b</math>. | ||

+ | |||

+ | 7) <math>2a = a</math>. Addition. | ||

+ | |||

+ | 8) <math>2 = 1</math>. Divide both sides by <math>a</math>. |

## Revision as of 14:09, 27 January 2020

## Proof

1) . Given.

2) . Multiply both sides by a.

3) . Subtract from both sides.

4) . Factor both sides.

5) . Divide both sides by

6) . Substitute for .

7) . Addition.

8) . Divide both sides by .