Difference between revisions of "Proof that 2=1"
(Created page with "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. Subtract </math>b^2<math> from both sides. 4) </math>(a+b)(a-b) =...") |
|||
| Line 1: | Line 1: | ||
1) <math>a = b</math>. Given. | 1) <math>a = b</math>. Given. | ||
2) <math>a^2 = ab</math>. Multiply both sides by a. | 2) <math>a^2 = ab</math>. Multiply both sides by a. | ||
| − | 3) <math>a^2-b^2 = ab-b^2. Subtract < | + | 3) <math>a^2-b^2 = ab-b^2</math>. Subtract <math>b^2</math> from both sides. |
| − | 4) < | + | 4) <math>(a+b)(a-b) = b(a-b)</math>. Factor both sides. |
| − | 5) < | + | 5) <math>(a+b) = b</math>. Divide both sides by <math>(a-b)</math> |
| − | 6) < | + | 6) <math>a+a = a</math>. Substitute <math>a</math> for <math>b</math>. |
| − | 7) < | + | 7) <math>2a = a</math>. Addition. |
| − | 8) < | + | 8) <math>2 = 1</math>. Divide both sides by <math>a</math>. |
Revision as of 19:29, 27 June 2019
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 .
