Two Thousands and Five Hundreds

2500 Indonesia Rupiah Bank Note

Yesterday was Saturday, March 28, 2010 the 87th day of the year which is also Rabia-II  12, 1431 in the Islamic calendar or Nissan 13, 5770 in the Jewish calendar that is the equivalent of  Eryue 13, 4707 of the Chinese lunar calendar. Saturday daytime was 12 hours and 21 minutes long which was enough to reach the 2500 visitors milestone on this blog. The Romans represented 2500 as MMD but the binary representation is 1001110001002. The number 2500 is a perfect square which can be written as 2500 = 142+482 or 302+402. In case you did not understand what is meant by all this then I would like to simplify it for you by saying that 2500 visitors like you had visited this blog since I publicized it in January 3 , 2010. Thank you for re-visiting.

The most visited posts and pages since the start of this blog are listed below. To my surprise, three out of the five top visited places are special pages where I post researches and case studies. I always thought that readers are interested in the posts, but apparently most of you are intellectual readers who wants to sharpen their knowledge.


A Mathematical Queiz

Implicit plot

xy = x + y + 14 and (y - x = 2)

There are two numbers, the difference between them is two. Their multiplication equal their sum plus fourteen?

A similar questions was asked few days ago on facebook between teenagers. One of teenagers did not know the answer (or maybe the question). The other was able to answer it in few minutes. The time taken to answer the question was impressive. They might had help from an adult or a calculator but at least they have the motivation to answer it.

This questions represent a hyperbola and can be mathematically represented by:

xy = (x + y) + 14

y – x = 2

that can be reduced to

y = (x + 14) / (x – 1) where x – 1 ≠ 0

Hyperbola according to WolframAlfa definition is an open curve formed by a plane that cuts the base of a right circular cone. So to reach the desired answer for the question you may replace an integer in place of x and calculate the result. You should start by the number 2 because x -1  ≠ 0. You will reach the result when you set x = 4 and then y will equal 6.

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