My friend and I are arguing again, about Maths (How cool are we?).

Please, just assure me (and him), that you cannot factorise the equation:

$\displaystyle x^2 + 100$

So that there are two brackets, each with a value of $\displaystyle x$ in.

Printable View

- Sep 9th 2009, 07:02 AMBench.The Impossible Factorisation
My friend and I are arguing again, about Maths (How cool are we?).

Please, just assure me (and him), that you cannot factorise the equation:

$\displaystyle x^2 + 100$

So that there are two brackets, each with a value of $\displaystyle x$ in. - Sep 9th 2009, 07:15 AMWilmer
- Sep 9th 2009, 07:16 AMred_dog
It can't be factorized over $\displaystyle \mathbb{R}$, but it can be factorized over $\displaystyle \mathbb{C}$:

$\displaystyle x^2+100=(x-10i)(x+10i)$ - Sep 9th 2009, 09:38 AMBench.
- Sep 9th 2009, 09:42 AMPim
R is the set of numbers you encounter in everyday life. This includes whole numbers, fractions and numbers like Pi. C is the set of all those and the complex numbers, which includes i, the root of -1.

- Sep 9th 2009, 09:54 AMBench.
Fantastic. What does C and R stand for, if they stand for anything?

- Sep 9th 2009, 09:59 AMPim
C stands for Complex, R for Real. (I think)

- Sep 9th 2009, 12:41 PMaidan