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Kvadrat tengsizliklar viktorinası

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Kvadrat tengsizliklar viktorinası

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Kvadrat tengsizliklar yechimini toping

Created by

Sevinch Abdurahmonova
Sevinch Abdurahmonova
Uzbekistan

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Kvadrat tengsizliklar viktorinası
 

Kvadrat tengsizliklar viktorinasıOnline version

Kvadrat tengsizliklar yechimini toping

by Sevinch Abdurahmonova
1

x^2 - 5x + 6 > 0 tenglamasining yechimlari qanday bo‘ladi?

2

x^2 - 4x + 4 ≤ 0 quyidagi qiymatlar uchun qachon to‘g‘ri?

3

x^2 + x - 6 < 0 ildizlari qaysi?

4

3x^2 - x - 2 ≥ 0 yechimlari qanday?

5

x^2 - 4x + 5 > 0 natijalari?

6

x^2 - 6x + 9 ≥ 0 barcha x uchun to‘g‘rilmi?

7

2x^2 - 3x ≤ 0 diapazonini toping (x multipl).

8

x^2 + 4x + 5 < 0 yechimi mavjudmi?

9

-x^2 + 5x - 6 > 0 narsa qanday bo‘ladi?

10

4x^2 -12x + 9 ≥ 0 natijasi qaysi?

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Parabola ochiladi, ildizlar 2 va 3 atrofida manfiy bo‘lmagan hududlar tashqari.

Bu (x-2)^2 ≤ 0, faqat x=2 bo‘lganda teng bo‘ladi.

(x+3)(x-2)<0 bo‘ladi, diapazon ichida ijobiy emas.

Diskriminant 25, ildizlar -2/3 va 1. Teshik tashqi qismda.

Diskriminant manfiy, kvadratvariat har doim musbat.

(x-3)^2 ≥ 0 har doim to‘g‘ri.

Nol va 3/2 arasida qiymatlar musbat bo‘ladi yoki manfiy bo‘ladi.

Discriminant 16-20 < 0, ildiz yo‘q.

Negativ tarafga ko‘chirilsa, x^2 -5x +6 < 0; ildizlar 2 va 3.

(2x-3)^2 ≥ 0 har doim true.

 
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