I have to simplify the following expression:
$B=\sqrt{x^2} - x$
The only thing that I can do is:
$\sqrt{a^2}=|a|$, thus $B=|x|-x$. Is that enough?
Asked
Active
Viewed 45 times
2
-
... or $\max{-2x,0}$ - depending on what is perseived as simpler – Hagen von Eitzen Jul 02 '19 at 09:15
-
@HagenvonEitzen, I did not understand this. How did you get it $-\max{-2x,0}$? – Valeri Jul 02 '19 at 09:16
-
+1 for not writing "it's obviously $0$" and skipping to the next question. – Arnaud Mortier Jul 02 '19 at 09:17
1 Answers
6
$B=0$ if $x\geq0$ and $B=-2x$ if $x\leq 0$
C. Kouecho
- 57
-
How can I describe this? Is it enough to write it after the expression I got? Should I add justification? – Valeri Jul 02 '19 at 09:19
-
1
-
2Nice answer. Maybe you want to use large braces like this: https://tex.stackexchange.com/questions/54108/curly-braces-and-nested-arrays – NoChance Jul 02 '19 at 09:25
-