მასწავლებლის წიგნი

d) x(x–√10)(x+√10)(x+4)(x–3)≥0pasuxi: (–4; –√10]∪[0;3)∪[√10; +∞).32 wylis avzis zomebi aRvniSnoT x, x+5 da x+10-iT. misi moculoba meti undaiyos x + 25 gverdis mqone kubis moculobaze:x(x+5)(x+10)>( x + 2 5,x(x+10)> x2 +10x+25, 8x8+80x>x 2 +10x+25, 7x 2 +70x–25>0, x 1≈–10,35, x 2≈0,345.saidanac miaxloebiTx0,345.virCevT x-is mniSvnelobebs (x 2;+∞) Sualedidan. amrigad, pirobaSi miTiTebulisaxis avzis fuZis mcire x gverdi SeiZleba iyos nebismier ricxvi (0,345; +∞)Sualedidan (miaxloebiT). fuZis meore gverdi da simaRle Sesabamisad gamoiTvleba.pasuxi: x, x+5 , x+10, x∈(0,345;+ ∞).33 Tu konteineris simaRles aRvniSnavT x-iT, maSin misi fuZis gverdebi iqnebax+2 da x+6. pirobis Tanaxmad, kubis formis konteineris wiboa x da x 3 3 utoloba modulis Tvisebebis gamoyenebiT. ganvixiloT oriSemTxveva:Tu x≥0, maSin x>3;Tu x3, anu x3 an x