Kaleidoscope

When I was young, I used to love Algebra I remember taking el mo3asser exercise book, put some music on, make myself a hot cup of tea with milk and start solving problems for hours! It didn’t feel like studying at all! It was more of a game to me  

That’s why I was happy to find this on wikihow. It shows u how to prove that 2 can equal 3 after some logical algebra (and how u can prove it’s wrong). I heard about this simple game from my friends who studied engineering, but they forgot how to do it. So here it is: 

Let’s assume A = B

So 2 A = 2 B ;

and 3 A = 3 B ,

mashi?

 Let’s multiply on both sides, the first equation with A and the second equation with B:

2 A² = 2 A B

And 3 A B = 3 B²

Now we’ll subtract the second equation from the first one, so it will be:

2 A² – 3 A B = 2 A B – 3 B²

Then we shift the 2’s on one side and the 3’s on the other side:

2 A² – 2 A B = 3 A B – 3 B²

And we take common factors:

2 A (A – B) = 3 B (A – B)

Then we divide both sides with (A – B):

2 A = 3 B

And we assumed from the beginning that A = B, then:

2 A = 3 A

Which means that 2 = 3 J

 (Bas 3ala fekra, there is a minor trick in the logical solution that proves that 2 can never equal 3.)