Question

{[(15*32:40*17+95):25+18:x]-8}*2009-2009=224108​

Answer 1

{[(480:40*17+95):25+18:x]-8}*2009-2009=224108
{[(12*17+95):25+18:x]-8}*2009-2009=224108
{[(204+95):25+18:x]-8}*2009-2009=224108
[(299:25+18:x)-8]*2009-2009=224108
[(11,96+18:x)-8]*2009-2009=224108/+2009
[(11,96+18:x)-8]*2009=226117/:2009
(11,96+18:x)-8=112,55/+8
11,96+18:x=120,55/-11,96
18:x=108,59/:18
x=6,032

Answer 2

Răspuns:

x=452025/2727017

x≈0,165758

Explicație pas cu pas:

{[(15*32:40*17+95):25+18:x]-8}*2009-2009=224108​, x≠0

={[(204+95):25+18/x]-8}*2009-2009=224108=

=[(299:25+18/x)-8]*2009-2009=224108=

=[(11,96+18/x)-8]*2009-2009=224108=

-transformam 11,96 in fractie zecimala-

=[(299/25+18/x)-8]*2009-2009=224108=

-eliminam parantezele-

=(299/25+18/x-8)*2009-2009=224108=

-aducem la acelasi numitor-

=(99/25+18/x)*2009-2009=224108=

-distribuim 2009 elementelor din paranteza-

=198891/25+36162/x-2009=224108=

-aducem din nou la acelasi numitor-

=148666/25+36162/x=224108=

-mutam constanta in partea dreapta si schimbam semnul acesteia-

36162/x=224108-148666/25

36162/x=5454034/25

-simplificam ecuatia folosind inmultirea pe diagonala-

904050=5454034x

x=452025/2727017, x≠0

x≈0,165758