I Tavi

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I <strong>Tavi</strong> 44 yuradReba: Tu D=0, maSin, rogorc cnobilia, x 1 =x 2 , amitom ax 2 +bx+c=a(x–x 1 ) 2 Tu D
savarjiSoebi: 1 SesaZlebelia Tu ara, rom sxvadasxva kvadratul samwevrs hqondes erTi da igive fesvebi? 2 SesaZlebelia Tu ara, rom sxvadasxva kvadratul funqciebs hqondeT erTi da igive nulebi? dadebiTi pasuxis SemTxvevaSi aCveneT, ra aqvT saerTo da riT gansxvavdebian maTi grafikebi erTmaneTisgan. 3 rogor iqnebian ganlagebulni erTmaneTis mimarT kvadratul funqciaTa grafikebi, romelTa a) fesvebis jami erTmaneTis tolia; b) fesvebis namravli erTmaneTis tolia. 4 ipoveT kvadratuli samwevris fesvebi: a) x 2 –8x+15; b) y 2 –7y+6; g) x 2 +15x+56; d) 0,3x 2 +1,5x–0,9; e) 0,2m 2 +3m–20; v) 3x 2 –3x+1. 5 SeamowmeT, aqvs Tu ara kvadratul samwevrs fesvebi. dadebiTi pasuxis SemTxvevaSi ipoveT maTi jami da namravli: a) 3x 2 –2x–5; b) 2t 2 –t+5; g) 3,4x 2 –14x+1; d) 5m 2 –12m+2; e) 5m 2 –12m–2; v) 0,3x 2 –2x–1. 6 kvadratuli samwevri daSaleT mamravlebad: a) x2 –2x–15; b) x2 –5x–14; g) x2 –x–20; d) 2x2 –x–3; e) 8t2 –6t+1; v) 25t2 –20t+4; z) 4z2 –12z+9; T) –7x2 +22x–3; i) –2x2 +5x+7; k) –35x2 +19x–2; l) –3x2 +38x–120; m) –3x2 +6x+9; n) x2 – 3 1 x+ 4 8 ; o) x2 +2x+ 3 ; 4 1 p) 4 a2 –2a+4; J) – 2 3 a2 –4a–6. 7 SekveceT wiladi: a) x2 –5x+6 x2 +4x–12 ; b) d) 2t2 –6t–8 –3t2 –4t–1 ; e) 7m2 +m–8 7m–7 x2 –16 x2 –x–12 8 amoxseniT gantoleba: a) x2 +7x+10 x2 –x–6 =0; b) g) 13 2x2 +x–21 + 1 2x+7 = 6 x2 ; –9 d) ; g) ; v) 2x 2 –3x–2 a+110–a 2 a2 –22–9a 2x2 –3x–2 8x2 –2 6x 2 +5x+1 =0; 3 x+2 + 2x–1 x+1 = 9 ageT y = x2 –2x–8 da y = x + 2 funqciaTa grafikebi. x–4 riT gansxvavdeba es grafikebi erTmaneTisagan? ; . 2x–1 x 2 +3x+2 . 45
Page 3: nana jafariZe maia wilosani nani
Page 6 and 7: IV Tavi . . . . . . . . . . . . . .
Page 8 and 9: 6 rogor visargebloT wigniT wignze m
Page 10 and 11: I Tavi 8 f funqciaa h ar aris funqc
Page 12 and 13: I Tavi gasaxseneblad! p(A) = m n ,
Page 14 and 15: I Tavi -4 12 4 a) savarjiSoebi: 1 r
Page 16 and 17: I Tavi 14 4) rodis moawyves turiste
Page 18 and 19: I Tavi 16 2 amovicnoT wrfivi funqci
Page 20 and 21: I Tavi 18 SeavseT gamotovebuli adgi
Page 22 and 23: I Tavi 20 proeqti: gazomvebidan fun
Page 24 and 25: I Tavi 22 y 10 -3 -2 -1 0 1 2 3 9 8
Page 26 and 27: I Tavi 24 15% 1,5 < n ≤ 2 20% 1 <
Page 28 and 29: I Tavi 26 nax. 1 kvadratul gantoleb
Page 30 and 31: I Tavi 28 3 dawereT kvadratuli gant
Page 32 and 33: I Tavi davazustoT! roca D = 0, kvad
Page 34 and 35: I Tavi 32 amovxsnaT formuliT (3x 2
Page 36 and 37: I Tavi 34 z) 10x 2 −120 + 6x = 98
Page 38 and 39: I Tavi navis sakuTari siCqarea navi
Page 40 and 41: I Tavi 38 6 amovxsnaT jgufuri mecad
Page 42 and 43: I Tavi x 1 da x 2 ricxvebi arian x
Page 44 and 45: I Tavi 42 17 amoxseniT gantoleba: a
Page 48 and 49: I Tavi gavixsenoT! x = a, maSin a 2
Page 50 and 51: I Tavi 48 I Tavis damatebiTi savarj
Page 52 and 53: I Tavi 50 K y = x 2 A B -3 -2 -1 K
Page 54 and 55: I Tavi 52 39 A punqtidan B punqtisa
Page 56 and 57: I Tavi narevSi gaxsnili nivTierebis
Page 58: 56 I TavSi Seswavlili masalis mokle

I Tavi

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