Problem K. 197. (January 2009)

K. 197. Solve the equation x^.|3-|x+5||=x.

(6 pont)

Deadline expired on February 10, 2009.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. I. eset: x=0 (ez megoldás is). II. eset: |3-|x+5||=1, amiből 3-|x+5|=1 vagy 3-|x+5|=-1, azaz |x+5|=2 vagy |x+5|=4.

A lehetséges megoldások: –3, –7, –1, –9. Vagyis öt megoldás van (a 0-val együtt).

Statistics:

183 students sent a solution.
6 points:	82 students.
5 points:	45 students.
4 points:	9 students.
3 points:	7 students.
2 points:	10 students.
1 point:	10 students.
0 point:	7 students.
Unfair, not evaluated:	13 solutionss.

Problems in Mathematics of KöMaL, January 2009