Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 229

Solve in natural numbers:

Solve in natural numbers:

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Solve in natural numbers:

By inspection, two solution sets would be (1,1,x) and (x,1,1).
I can't see any others or prove that there aren't any though.

---

Why did the vector cross the road?
It wanted to be normal.

LQ

Real Member

Registered: 2006-12-04

Posts: 1,285

Re: Solve in natural numbers:

First we put all things on one side:
a^b + b^c - 1 - a^c = 0
Then we integrate both sides that has matrixes of integers:
F(a^b) + F(b^c) - n - F(a^b) = C
That is allready the answer, C.
Just to prove my point. I didn't know what C was when I started counting on that.
The integral of every thing is the answer of what it is!

---

I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy...

Daniel123

Member

Registered: 2007-05-23

Posts: 663

Re: Solve in natural numbers:

First we put all things on one side:
a^b + b^c - 1 - a^c = 0
Then we integrate both sides that has matrixes of integers:
F(a^b) + F(b^c) - n - F(a^b) = C
That is allready the answer, C.
Just to prove my point. I didn't know what C was when I started counting on that.
The integral of every thing is the answer of what it is!

Hmmm?