Lord Lio wrote: another chance for you people...

don't spoil it this time

RIDDLE #7 - 2

46497722=?

Still cant get these

Orio.

**Moderators:** Jay2k1, DavidM, amh

not sure whether you would consider this a small riddle or not, but for any math buffs, this is a factoring problem I'm working on right now.

16(d^2)=2(a^2)(b^2)+2(b^2)(c^2)+2(a^2)(c^2)-(a^4)-(b^4)-c^4)

The problem is to solve for a, b, or c, in terms of the other 3 variables. (The right side is symmetrical, so if you can get one, it's the same as getting the other 2) It's a really interesting problem, I'm just not getting anywhere with it yet.

edit: I was able to do it, but I'll keep the challenge up anyways.

16(d^2)=2(a^2)(b^2)+2(b^2)(c^2)+2(a^2)(c^2)-(a^4)-(b^4)-c^4)

The problem is to solve for a, b, or c, in terms of the other 3 variables. (The right side is symmetrical, so if you can get one, it's the same as getting the other 2) It's a really interesting problem, I'm just not getting anywhere with it yet.

edit: I was able to do it, but I'll keep the challenge up anyways.

Last edited by meep98324 on 11-02-2006 18:08, edited 1 time in total.

Once upon a time, there were three princes who wished to marry a princess. The princess wished to marry one of them, but not the other two. Her father however, was rather conservative, and did not feel she was ready to marry any of them. The King decided to put all three of them to tests that he believed none of them would be able to pass. First, he blindfolded them all, then led each in turn to his individual test.

The next day, before the king started the challenges, he had the princes blindfold themselves. Then he led each of them to their respective challenge.

The King led Prince #1 to the base of a mountain where there were ten painted, wooden doors, glistening in the sun. "All but one of these doors in front of you are white," said the King. "If you can tell me within the next ten minutes, which door is black, then you may marry my daughter. You may not speak to anyone, and you may not remove your blindfold."

The King led Prince #2 to a hillside, and pointed out across his lush green valleys to the edge of his kingdom, where ten beautiful buildings stood. "All but one of these buildings in front of you are white," the King said. "If you can tell me within the next ten minutes, which building is black, then you may marry my daughter. You may not speak to anyone, and you may not remove your blindfold."

The King led Prince #3 to a magnificent dining table where ten places were impeccably laid out. "All but one of the napkins on this table are white," said the King. "If you can tell me within the next ten minutes, which napkin is black, then you may marry my daughter. You may not speak to anyone, and you may not remove your blindfold."

Ten minutes later, only one of the princes - the one the princess wished to marry - had succeeded at his individual test. Which one of the princes had succeeded, and how?

There are 2 matematicians. One matematician (P) is given the result of the product of 2 unknown numbers. The other (S) is given the result of the sum of those same 2 numbers. We only know that both numbers are greater than 1, and that their sum is smaller or equal to 100.

Later on, these 2 matematicians have a phone-conversation.

P: "I don't know what the 2 numbers are".

S: "I knew you wouldn't know what numbers they would be."

P: "Now I know what numbers they are".

S: "Now I know what numbers they are".

Which were the numbers?

You have to put the conditions that the future solution must fill and go eliminating numbers from the posible solutions. These conditions get more and more complicated, but if you do it right you eliminate all numbers except one, which will tell you the solution.