aviyvanoT kvadratSi:9x 2 –36x+36>x 2 , saidanac 2(x–3)(x - 3 2 )>0, x∈(-∞; 3 2)∪(3; +∞).• amovxsnaT igive utoloba SemTxvevebis ganxilviT. ricxviTi wrfe davyoT samSua ledad da TiToeul maTganSi amovxsnaT utoloba.ZZZ] x2[[[] –(3x–6)>–x ] –(3x–6)>x ] 3x–6>x.\miviRebT x3.\\pasuxi: (-∞; 3 2)∪(3; +∞).mocemuli utolobis amonaxsnTa simravles mogvcems namdvil ricxvTa simravlidan|3x–6|≤|x| utolobis amonaxsnebis gamoricxva. ganvixiloT es ukanaskneliutoloba.vRebulobT: |x|≥3|x–2|, anu M(x)-dan 0-mde manZili (|x|) metia an tolia M-dan 2-isSesabamis wertilamde manZilis gasammagebul sidideze.suraTze isini daStrixulia.darCa (-∞; 3 2)∪(3; +∞).v) |x–3|+|x–5|
pirobiT, rom arSiis farTobi ar iyos fotosuraTis farTobze naklebi da gaormagebulfarTobze meti.moswavleTa yuradReba gavamaxviloT imaze, rom arSiis farTobs ori pirobisdakmayofileba moeTxoveba, TiToeuli piroba Sesabamisi algebruli TanafardobiTaRiwereba.wina masalasTan kavSiris konteqstSi, vimeorebT kvadratuli funqciis yofaqcevas,grafiks da kvadratuli utolobis amoxsnis sqemebs.moswavleTa ZiriTadi aqtivoba gakveTilze dasmuli amocanis maTematikuri modelisagebas ukavSirdeba _ TiToeuli pirobis Sesabamisad, miiReba ori kvadratuliutoloba, romelsac arSiis siganis aRmniSvneli, x cvladi unda akmayofilebdes.maSasadame, veZebT x cvladis yvela im mniSvnelobas, romelic orive utolobas akmayofilebs.saZiebeli simravle miiReba am utolobebis amonaxsnTa simravleebisTanakveTiT. am daskvnamde misvlis Semdeg, moswavleebi advilad pouloben sistemisamonaxsns da ayalibeben sistemis amoxsnis wess.amis Semdeg moswavleebis aqtivobebi dakavSirebulia konkretuli sistemebisamoxsnebis povnasTan. amisTvis SeiZleba gamoviyenoT saxelmZRvanelos TeoriulnawilSi warmodgenili magaliTebi.codnis ganmtkicebis mizniT sasurvelia SevTavazoT sakontrolo kiTxvebi daramdenime amocana, romelTa amoxsna did dros ar moiTxovs, magaliTad, 3, 6 da9-is g.saSinao davalebad SeiZleba SevTavazoT 1-2, 4-5 7-10 amocanebi.codnis ganmtkicebisTvis saWiro muSaoba Semdeg gakveTilze grZeldeba. vxsniTsaxelmZRvaneloSi warmodgenil amocanebs.erTi gakveTili SeiZleba davuTmoT jgufur muSaobas da SevTavazoT moswavleebsamocanebi, romlebic kvlevas, problemis gadawyvetisas arastandartul midgomas,matematikuri modelis Seqmnasa da gamoyenebas gulisxmobs (amocanebi 19, 20,24, 25, 26).miTiTebebi amocanebis amosaxsnelad2 sistemis I utoloba asec Caiwereba (2x–1) 2 ≥0. cxadia, misi amonaxsnTa simravlea(–∞;+∞). amitom sistemis amonaxsnebs warmoadgens II utoloba.3 sistemis I utolobas amonaxsni ara aqvs, sistemasac ara aqvs amonaxsni.4 sistemis I utolobas akmayofilebs x-is nebismieri mniSivneloba, amitomsistemis amonaxsnTa simravle emTxveva II utolobis amonaxsnTa simravles.5 (2x–1) 2 ≤0 utolobas akmayofilebs erTaderTi mniSvneloba _ x= 1 2. is II utolobasacakmayofilebs. e. i. sistemis amonaxsnia mxolod x= 1 2 .Z][]\6 mocemuli sistemis tolfasi sistemaa(x–2)(x–6)≥0(x–3)(x+1) ≤0pasuxi: x∈[–1; 2].(x–2)(x–6)(x–3)(x+1)47