∴ To prove: 4 = 0
Proof:
Statement | Proof |
---|---|
Let we have an equation as follows | |
4² – 4² = 0 | Universal truth as 16 – 16 = 0 |
it can be written | |
( 4 + 4 ) ( 4 - 4 ) = 0 | by the formula |
a² – b² = ( a + b ) ( a – b ) | |
4 – 4 = 0 | dividing both sides by 4 + 4 |
or 2² – 2² = 0 | Given |
( 2 + 2 ) ( 2 – 2 ) = 0 | by the formula |
a² – b² = ( a + b ) (a – b ) | |
2 + 2 = 0 | dividing both sides by 2 – 2 |
4 = 0 | Hence proved. |
Those who'd like to challange above theorem's approach, ever remember solving limit problems at the beginning of calculus?