Monday, August 30, 2010

Black Holes

When someone thinks of a black hole they usually think of this.



But in class we learned about mathematical "black holes". Black holes are equations that always come out with the same answer no matter what number is plugged in. The best way to explain is through an example.

1. Take any number.
2. Multiply it by 6.
3. Add 12 to the result.
4. Divide by 3.
5. Simplify.
6. Subtract twice the original number.

The answer should always be 4. I'll walk you through using two different numbers.
1. 5 = 5
2. 6x5 = 30
3. 6x5+12 = 42
4. (6x5+12)/3 = 14
5. 2x5+4 = 14
6. 2x5+4-2x5 = 4

1. 7 = 7
2. 6x7 = 42
3. 6x7+12 = 54
4.(6x7+12)/3 = 17
5. 2x7+4 = 17
6. 2x7+4-2x7 = 4

Now try it yourself!

Black holes always because in the end everything is cancelled out except the number you want your answer to be. If you look at number six in the equation above you will find 2x7+4-2x7. Take out the 4 and complete the rest of the equation.

2x7+4-2x7
2x7-2x7= 0

The answer is zero because the two sides have been cancelled out.
Therefore the answer to this black hole will always be 4.