DTM Test Matematika

Question 1

Agar x² - 5x + 6 = 0 bo'lsa, x ning qiymatlarini toping.

Accepted Answer

x = 2 va x = 3

Answer

x² - 5x + 6 = 0 tenglamasini yechish uchun uni ko'paytuvchilarga ajratamiz: (x-2)(x-3) = 0. Bu yerdan x - 2 = 0 yoki x - 3 = 0, ya'ni x = 2 yoki x = 3.

Question 2

log₂(32) ning qiymatini toping.

Accepted Answer

5

Answer

log₂(32) = log₂(2⁵) = 5. Chunki 2⁵ = 32.

Question 3

sin(30°) + cos(60°) ning qiymatini toping.

Accepted Answer

1

Answer

sin(30°) = 1/2 va cos(60°) = 1/2. Shuning uchun sin(30°) + cos(60°) = 1/2 + 1/2 = 1.

Question 4

To'g'ri burchakli uchburchakda gipotenuz 10 sm, bir kateti 6 sm bo'lsa, ikkinchi kateti necha sm?

Accepted Answer

8 sm

Answer

Pifagor teoremasi: a² + b² = c². 6² + b² = 10². 36 + b² = 100. b² = 64. b = 8 sm.

Question 5

Agar f(x) = 3x² - 2x + 1 bo'lsa, f(2) ning qiymatini toping.

Accepted Answer

9

Answer

f(2) = 3(2)² - 2(2) + 1 = 12 - 4 + 1 = 9.

DTM Test - Davlat Test Markazi Practice Test

DTM Test - Davlat Test Markazi Practice Test

DTM Test Matematika