1. I know this one's easy but I just felt writing something.
a=2*8
b=4
a+b=20
(a+b)(a-b)=20(a-b)
a*a-b*b=20a-20b
a*a -20a=b*b-20b
a*a-20a+100=b*b-20b+100
(a-10)(a-10)=(b-10)(b-10)
a-10=b-10
a=b
2*8=4!

2.

3. Hint: How do you get from (a-10)(a-10)=(b-10)(b-10) to a-10=b-10?

4. It's alive!

Seriously, river_rat, if you're lurking, come back. I could use some help debunking Matthew's "solution" to TSP (he just produces the greedy algorithm) and convincing William that π is indeed less than 22/7 (he's rolled some wheels around and thinks it's bigger). Both are pretty stubborn, but maybe the extra heft of another mathematician could convince them of the error of their ways. I'm sure you can think of some ideas that I haven't yet tried on these fellows.

5. Originally Posted by serpicojr
It's alive!

Seriously, river_rat, if you're lurking, come back. I could use some help debunking Matthew's "solution" to TSP (he just produces the greedy algorithm) and convincing William that π is indeed less than 22/7 (he's rolled some wheels around and thinks it's bigger). Both are pretty stubborn, but maybe the extra heft of another mathematician could convince them of the error of their ways. I'm sure you can think of some ideas that I haven't yet tried on these fellows.

Be careful when talking about forum members... my name is william also. And I have no idea what thread you're talking about.

Just trying to maintain my reputation is all.
Cheers,
william

6. Serpicojr is referring to William McCormick.

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