60. (Og`zaki.) quyidagi tengsizliklardan qaysilari kvadrat tengsizlik ekanini ko`rsating:
1) x2 4 > 0; 2) x2 3x 5 ≤ 0; 3) 3x + 4 > 0;
4) 4x 5 < 0; 5) x2 1 ≤ 0; 6) x4 16 > 0.
61. Quyidagi tengsizliklarni kvadrat tengsizlikka keltiring:
1) x2 < 3x + 4; 2) 3x2 1 > x;
3) 3x2 < x2 5x + 6; 4) 2x(x + 1) < x + 5.
62. (Og`zaki.) 0; 1; 2 sonlaridan qaysilari
1) x2 + 3x + 2 > 0; 2) x2 + 3,5x + 2 ≥ 0;
3) x2 x 2 ≤ 0; 4) x2 + x +
< 0
tengsizlikning yechimi boladi?
Tengsizlikni yeching: (63 65):
63. 1) (x 2)(x + 4) > 0; 2) (x 11)(x 3) < 0;
3) (x 3)(x + 5) < 0; 4) (x + 7)(x + 1) > 0.
64. 1) x2 4 < 0; 2) x2 9 > 0;
3) x2 + 3x < 0; 4) x2 2x > 0.
65. 1) x2 3x + 2 < 0; 2) 2x2 + x 2 < 0;
3) x2 2x 3 > 0; 4) x2 + 2x 3 > 0;
5) 2x2 + 3x 2 > 0; 6) 3x2 + 3x 1 > 0.
66. Tengsizlikni yeching:
1)
2)
3) 3x2 3 < x2 x; 4) (x 1)(x + 3) > 5.
67. Funksiyaning garfigini yasang. Grafik bo`yicha x ning funksiya musbar qiymatlar; manfiy qiymatlar; nolga teng qiymatlar qabul qiladigan barcha qiymatlarini toping:
1) y = 2x2; 2) y = (x + 1,5)2;
3) y = 2x2 x + 2; 4) y = 3x2 x 2.
68. x1 va x2 sonlar bunda (x1 < x2) y = ax2 + bx + c funksiyaning nollari ekani malum. Agar x0 son x1 va x2 oarsida yotsa, u holda
tengsizlik bajarilishini isbotlang.
