მასწავლებლის წიგნი

d) mocemulis tolfasi utolobaa:2x+3x(2x–3) >0. pasuxi: (– 3 2 ; 0)∪( 3 2 ; +∞).29 a)x 2≥0 utoloba sruldeba nebismieri x-sTvis,x 2 +1b) x2 +1≥0 utoloba sruldeba nebis mi eri x≠0-sTvis,x 2g)(x–5)(x+5)x(x–3)(x+3) ≥0pasuxi: x∈ [–5; –3)∪(0; 3)∪[5; +∞).d)x 2 +25≥0 utoloba tolfasia x(x–3)(x+3)>0 utolobis.x(x 2 –9)pasuxi: (–3;0)∪(3; +∞)30 a) (x–2)(x+2)x(x–3) 2 ≥0pasuxi: [–2; 0)∪[2; 3)∪(3;+ ∞)b) (3x–1)2 (2x–1)(2x+1)≥0 utoloba tolfasiax(x 2 +4)(3x–1) 2 (2x–1)(2x+1)≥0 utolobis, radganxx 2 +4>0 utoloba sruldeba nebismieri x-sTvis.pasuxi: [- 1 2 ; 0)∪{ 1 3 }∪[ 1 2 ; +∞).g) x 2 (1–x)(x+10)>0 utoloba amovxsnaT intervalTameTodiT:pasuxi: (–10; 0)∪(0;1).d)x 2 (x+3)(x+4)–2,5(x–3)(2x–3) ≥0pasuxi: [–4; –3]∪{0}∪( 3 2 ; 3).31 a)x(x–√5 )(x+√5 )≤0, saidanac (x–√5 )(x+√5 )≤0, x≠0x(x 2 +5)pasuxi: [–√5 ; 0)∪(0; √5 ].b) x(x2 –3)(x+1)>0,x(x–1)x(x–√3 )(x+√3 )(x+1)>0.x(x–1)pasuxi: (–√3 ;–1)∪(0;1)∪(√3 ; +∞).g) (x–√10)(x+√10) ≥0x–πpasuxi: [–√10; π)∪[√10; +∞)43