Daraja qatnashgan tengsizlik va tenglamalar — 9-sinf Algebra test savollari

1.x⁴ - 5x² + 4 = 0 tenglamani yeching (yordamchi almashtirish x²=t bilan).

• A)x = ±1, x = ±2
• B)x = ±2 (faqat)
• C)x = ±1 (faqat)
• D)ildizi yo'q

2.x⁴ - 13x² + 36 = 0 tenglamaning ildizlari nechta?

• A)4 ta
• B)2 ta
• C)1 ta
• D)0 ta

3.x⁴ - 3x² - 4 < 0 tengsizlikni yeching.

• A)-2 < x < 2
• B)x < -2 yoki x > 2
• C)-1 < x < 1
• D)barcha sonlar

4.x⁴ = 16 tenglamaning haqiqiy ildizlarini toping.

• A)x = 2 va x = -2
• B)x = 2 (faqat)
• C)x = ±2, ±2i
• D)x = 4

5.x⁶ - 9x³ + 8 = 0 tenglamani x³=t almashtirish bilan yeching, ildizlar yig'indisini toping.

• A)3 (x=1 va x=2 dan 1+2=3)
• B)9
• C)8
• D)1

6.x⁴ - 16 = 0 tenglamaning haqiqiy ildizlari nechta?

• A)2 ta
• B)4 ta
• C)1 ta
• D)0 ta

7.t² - 5t + 6 = 0 (t=x² deb belgilangan) tenglamaning musbat ildizlaridan x ning barcha qiymatlarini toping.

• A)x = ±√2, ±√3
• B)x = 2, 3
• C)x = ±2, ±3
• D)x = √5, √6

8.x⁴ - 1 = 0 tenglamaning haqiqiy ildizlarini toping.

• A)x = 1 va x = -1
• B)x = 1 (faqat)
• C)x = ±1, ±i
• D)ildizi yo'q

9.x⁴ + 4x² = 0 tenglamaning haqiqiy ildizini toping.

• A)x = 0 (yagona)
• B)x = 0, 2, -2
• C)x = ±2
• D)ildizi yo'q

10.x⁴ ≥ 16 tengsizlikni yeching.

• A)x ≤ -2 yoki x ≥ 2
• B)-2 ≤ x ≤ 2
• C)x ≥ 2
• D)x ≤ -2