Mathematical and Physical Journal
for High Schools
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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 solutions.

Problems in Mathematics of KöMaL, January 2009