Topic, Offtopic post

  @CG52: no, your equation wasn't too difficult, it's just that I didn't see it. I remember learning how to solve this kind of equation over 50 years ago :)

The general way to solve it is as you mentioned:


second solution:

  Anyone interested in the inverse formula of the Triangular Number?

I figured out the formula a while ago on my own.

  So, what are you all going to do this weekend? I might go to the mall tomorrow sometime.

  c=10

Most standard method:


Maybe my equation was too difficult…

Hint:

  Now solve for c.

10c+8=108

This will be an easy one for you guys.

  The equation x^2-(a+b)x+ab=0 will have the solutions x=a and x=b, that's how you can make a polynomial equation with 2 solutions. More than 2 requires higher order polynomials. There are other ways, like trigonometric equations but that might not be familiar to you anymore if you stopped studying mathematics many years ago.

  Well done with those methods CG52, now I proved to make an equation with more than 1 solution.

  a=4

Method 1 - Normal:


Method 2 - Factoring:


A bit harder, try to solve for x:

x^4-5x^2+4=0 (there are 4 solutions!)

  Solve for a.

2a-8=16-4a

  I don’t actually know where the word ‘transcendental’ comes from. It’s probably to do with the numbers ‘transcending’ the algebraic methods of constructing numbers. Similarly, irrational numbers are those that aren’t ratios of whole numbers (so can’t be represented as fractions).

Inequalities can be confusing, particularly if it is a rational function instead of a polynomial, but even a simple quadratic can be trickier than you might think.

Mathematics takes a lot of practice to learn and while some people are naturally gifted at it, I do think that 90-95% of people can understand maths to a level that would surprise themselves. Of course I understand that this stuff is very abstract for a lot of people without the background knowledge or the desire to learn it xD. Even simpler stuff though, practice is the only way you can get better, but when you do a lot of those problems, improvements will naturally occur.

  This is an interesting conversation going on about mathematics stuff. I got a B in my 6th grade math class. The hardest part was the advanced equations, inequalities and fractions, etc. Transcendential sounds like a crazy term that the Greeks or Trojans would use back in the medieval times.

  The true creepiness of transcendental numbers is that as I said before, since a lot of early mathematics was based on algebra, it doesn't feel very comforting that almost any random real number cannot be constructed that way. To hammer home the point, if you take the section of real numbers between 0 and 1, and then pick out a random one based purely on a uniform distribution, the chance that the number can be constructed algebraically is zero, which just feels completely strange.

I wonder if the people who discovered that transcendental numbers exist had similar reactions as the Ancient Greeks did who discovered they could make numbers like the square root of 2 that can't be represented cleanly as a ratio of two integers...

  That was weird and creepy in a way, but it's always a brilliant thing that suhangha has made for us to see!

  That is quite weird to be honest. I hadn’t made the link that they are the same number… it’s probably just an error in WolframAlpha, because it claims that it doesn’t know if 1 is transcendental, which it obviously isn’t.

 

  Transcendence is a very interesting property to be honest. In a way it makes me feel slightly weird, you can show that transcendental numbers are far more common than algebraic numbers. The problem with that is our immediate intuition for how we understand numbers would start from whole numbers of things, develop to involve ratios between those whole numbers, and eventually solutions to algebraic equations in the whole numbers, but almost every number can't be produced that way. Simple concepts like the ratio between a circle's circumference and its diameter surely feel like the should be easy to construct in these ways, but try as you might it is impossible, as pi is transcendental.

  That was interesting suhangha!! I was the top student in my algebra class 14 years ago, I remember every moment of it when I was in the 10th grade. I graduated high school in Summer 2010.

  I’d say almost surely. Obviously it’s not a proof that it is but with the sheer amount of transcendental numbers, that one almost surely is. Actually proving that conjecture would be ridiculous though.

EDIT: Didn't see the other one.

 

  Latest news: title & icon changed to hexagon! icon 3x3 Hexagon means 18 element Worlds and central World the Modern Day. THATS IT
more you need to know? visit game page plz
play try it

  Hexagons are one of three regular polygons that can tesselate the plane on their own (along with squares and triangles). That’s why the shapes look very cool and also why they show up in nature a lot, like honeycombs. Also they are structurally strong.

  Tacos, steaks, and hamburgers...

  Yeah, I'd like to know what's going on there too. Hexagons are cool, interesting shapes.

  Interesting information suhangha! Keep us updated on your Universter game.

  GAME OST, silently although
also, this korean group's music!

I changed name UNIVERSTER TO HEXAGON

'UNIVERSTER' navar usad anymora! THAT reason iS A HINT. FIND what is this korean group (:

  I only like rock music. Not a fan of jazz or hip-hop.

  What type of music to you like listening to?

  I'm going to a bowling alley tomorrow night. I need some real fun! It's boring staying indoors 24/7 on the Internet and PlayStation.

  What's up everyone, I hope y'all have a great weekend. I didn't know you can double-post here either.

  Oh, well that explains it then. I'm fixing to eat dinner, I'm having a turkey sub with cheese, onions, lettuce and bacon bits. And for dessert I'm eating some cookies and a vanilla cupcake with sprinkles.