§. Natural va butun sonlar
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§. Natural va butun sonlar
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10. Agar x va z orasida A) 0.25 B) 0.4 C) 0.5 D) 1 11. Agar A) – 6 B) 6 (C) – 8 D) 8 12. (x+1)(x+2)(x+3) = (x–3)(x+4)(x+5) tenglamanechtaildizgaega? A) 3 B)2 C)1 D)0 13. A)1 B)2 C)3 D)4 14. A)1 B)2 C)3 D)4 15. (x2 + x+1)(2x2 + 2x + 3) = 3(1 – x – x2) tenglamaning haqiqiy ildizlari yig’indisini toping.
16. (x-2)2(x+1)2 - (x-2)(x2 – 1) – 2(x-1)2 = 0 tenglama nechta haqiqiy ildizga ega? A) 3 B)4 C)2 D)1 17. (x2 – 5x+7)2 – (x-2)(x-3) = 0 tenglamaning natural sonlarda nechta yechimi mavjud? A)3 B)2 C)1 D)0 18. (x-2)(x+1)(x+4)(x+7) = 19 tenglama nechta musbat yechimga ega? A)1 B)2 C)3 D)4 19. (2x2+3x-2)(5-6x-4x2) = -5(2x2 + 3x+2) tenglama nechta manfiy yechimga ega? A)1 B)2 C)3 D)4 20. A) 4 B)3 C)-6 D)6 21. A)- 1 B)3 C)-4 D)-2 22. A) -1 B)-2 C)2 D)1 23. 7(x+ A) 1 B)1,5 C)2 D)2,5 24. A)1,5 B)2 C)0,75 D)2,75 25. A)1 B)2 C)0 D)3 26. A)-5 B)3 C)1 D)2 27.  +  =  tenglamaning ildizlari yig’indisini toping.
A)2 B) 28. Agar f(x) = x2 + 10x+20 funksiyaberilganbo’lsa, f(f(f(f(f(f(x))))) = 0 tenglamanechtaratsionalildizgaega? A) 1 B)2 C)5 D)32 29.Agar f(x) = x2 + 8x+12 funksiyaberilganbo’lsa, f(f(f(f(f(f(x))))) = 0 tenglamanechtaratsionalildizgaega? A) 1 B)2 C)5 D)32 30.  tenglama nechta ildizgaega?
A)3 B)10 C)20 D)1 31.  tenglamaning ildizlari yig’indisini toping.
A) – 4000 B) – 4010 C)0 D) – 5 32. Agar x3 + px + q = 0 kubiktenglamaningildizlari x1, x2, x3bo’lsa, x12 + x22 + x23ifodaningqiymatini toping. A) 2p B)0 C)– 2p D)2q 17. Agar x3 + px + q = 0 kubiktenglamaningildizlari x1, x2, x3bo’lsa, x13 + x32 + x33ifodaningqiymatini toping. A) 3p B)0 C)– 3p D)– 3q 18. 2x3 – 2x2 + 4x – 1 = 0 kubiktenglamaildizlarikvadratlariningyig’indisini toping.
19. 2x3 – 2x2 + 4x – 1 = 0 kubiktenglamaildizlarikublariningyig’indisini toping. A)– 3B)– 3,5 C)1 D)– 2 20. Agar P(x) = x3 – 7x2 + 14x + r ko’phadningildizlaridanbiriboshqasidan 2 martakattabo’lsa, ko’phadningengkattaildizini toping. A) 1 B)3 C)4 D)6 21. Agar P(x) = x3 – 7x2 + 14x + r ko’phadningildizlaridanbiriboshqasidan 2 martakattabo’lsa, ko’phadningengkichikildizini toping. A) 1 B)3 C)4 D)6 22. Agar P(x) = x3 – 7x2 + 14x + r ko’phadningildizlaridanbiriboshqasidan 2 martakattabo’lsa, ko’phaddan r ningqiymatini toping. A) – 4 B)– 2 C)– 8 D)1 23.  tenglamaning ildizlari yig’indisini toping.
A) 5 B)0,5 C)5,5 D)6 24.  tenglamaning ildizlari yig’indisini toping.
A) 19/4 B) 15/4 C) 11/4 D)1 25.  tenglamaning ildizlari yig’indisini toping.
A) 11/3 B)2 C) 7/3 D)1 26.  = 1 tenglama nechta ildizga ega? ( a
A)1 B)3 C)2 D)0 40. = 1 tenglamaning ildizlari yig’indisini toping. ( a
A)a+2b+3c B)(a+b+c)2 C)a+b+c D)0 41. c  = 1 tenglama nechta ildizga ega? ( a
A)1 B)3 C)2 D)0 42. c = 1 tenglamaning ildizlari yig’indisini toping. ( a
A)a+2b+3c B)(a+b+c)2 C)a+b+c D)0 f(x)=x3+6x2+12x+6 ga teng bo’lsa f(f(f(f(x))))=0 tenglamaning nechta ildizi bor. A)9 B)27 C)3 D)1 46. f(x)=x3+9x2+27x+24 ga teng bo’lsa f(f(f(f(x))))=0 tenglamaning nechta ildizi bor. A)9 B)27 C)3 D)1 47. f(x)=x3+12x2+48x+60 ga teng bo’lsa f(f(f(f(x))))=0 tenglamaning nechta ildizi bor. A)9 B)27 C)3 D)1 48. f(x)=x3+15x2+75x+120 ga teng bo’lsa f(f(f(f(x))))=0 tenglamaning nechta ildizi bor. A)9 B)27 C)3 D)1 49. . Agar a,b,c sonlar px3-px2+qx+q=0 tenglamani ildizlari bo’lsa, (a+b+c)( A) p+q B)1 C)-1 D)p-q+ 50. Tenglamaningildizlariko’paytmasini toping. (x2 –x-1)3+(2x2-x-7)3=(3x2 -2x-8)3 A)  D)1
52. x•f(x+1)=4x-f(x)+1 tenglik o`rinli bo`lsa, f(0)+f(1)+f(2)=? A) 4 B) 5 C) 6 D) 7 53. (x+10) (x+9)+ (x+9)(x+8)+…+ (x+1)x=10*9+9*8+…+2*1 tenglamaning ildizlari x1 va x2 bo’lsa ( x1>x2 ) x1:x2 ni toping. A) -6 B) 0 C) 1 D) -1 54. x va y butun qiymatlarning nechta juftligida xy =x+y+4 tenglamani qanoatlantiradi?
55. (x-5y)2 +(y+1)2 + A) -5 B) -1 C) 6 D) shart yetarli emas 56. . (x-5y)2 +(y+1)2 + A) -5 B) -1 C) 6 D) shart yetarli emas 57. Agar (ax2+bx+c)+(bx2 +ax-9) +(tx2 +cx+7) =11x2 +13x +2 shart o’rinli bo’lsa, t ning qiymatini toping. A) 3 B)2 C)4 D) shart yetarli emas 58. a ning nechta qiymatida a -2 soni x3 –ax2+2 =0 tenglamaning ildizi bo’ladi? A)1 B)3 C)2 D) bunday qiymat mavjud emas 59. a ning qanday qiymatida 3x3 –ax2 -7x+b =0 tenglamaning ildizi 1 va -2 bo’ladi? A) -2 B)2 C)3 D)-1 60. 4m2n-n-4m2 =56 tenglamani qanoatlantiruvchi m va n natural sonlarning yig’indisini toping. A) 1 B)20 C)21 D)aniqlab bo’lmaydi 61. 19x + 15y =1915 tenglamani qanoatlantiruvchi x va y natural sonlar juftligi nechta? A)5 B)4 C)7 D)6 62. x4 – (x-1)(5x2 -4x+4) =0 tenglamaning haqiqiy ildizlari sonini toping. A)2 B)1 C)3 D)0 63. x3 – 27y3 =37 tenglamaning natural sonlarda nechta ildizi mavjud? A) 4 B)2 C)1 D) cheksiz ko’p 64. x3 +x+3 A) 1 B)2 C)3 D)0 65. y2 =x2 +x3 tenglamani x va y juftliklarda qanoatlantiruvchi nechta butun yechimi bor? A) 15 B)19 C)24 D) cheksiz ko’p 66. xy2 -7(x+y2) =1 tenglamaning butun sonlarda nechta ildizi mavjud? A) 1 B)2 C)3 D)0 67. xy –x =y5 +y3 -7 tenglamaning natural sonlarda nechta ildizi mavjud? A) 1 B)2 C)3 D)0 68. Tenglamaning natural sonlardagi yechimida z nimaga teng. 
A) 3 B) 4 C) 1 D) 2 E) 7 69. 70. Agar x va z orasida (A) 0.25 B) 0.4 C) 0.5 D) 1 71. bo’lsa, A) 1 B) 2 C) 5 (D) 10 72. Agar (A) 1 B) 0.5 C) 0.25 D) 2 73. 2k2 +7k =2mk+3m+36 tenglamaning (k;m) juftligida nechta musbat son qanoatlantiradi? A) 2 B)3 C)1 D) cheksiz ko’p 74. Quyidagi tenglamalarning ildizlari qaysi oraliqda ekanligini aniqlang. 1) 2x3 +3x2+5x+9 =0 2)x3 +x2+x+19 =0 3) 4x3 +3x2+5x+7 =0 4) x3 +4x2+9x+17 =0 75. x3+x-1=0 kubik tenglamaning ildizi qaysi oraliqda joylashgan.
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munosabat o’rinli bo’lsa,xz ning qiymati qancha bo’ladi?
bo’lsa, xy ni toping.
tenglamanechtaildizgaega?
tenglamanechtaildizgaega?
tenglamaning ildizlari yig’indisini toping.
tenglamaning ildizlarini o’rta arifmetigini toping.
tenglamaning ildizlari o’rta arifmetigini toping.
) – 2(
= 9 tenglamaning ildizlari ko’paytmasini toping.
= 6 tenglamaning ildizlari ko’paytmasini toping.
= 
tenglamaning ildizlari sonini toping.
ifodaning qiymatini toping.
=0 tenglamadan x ning qiyatini toping.
=0 tenglamaning nechta haqiqiy ildizi mavjud?
tenglamani haqiqiy ildizini toping.
ni hisoblang.
bo’lsa, |x|+|y| ning qiymatini toping.
