Bikvadrat tenglama. Kvadrat tenglamaga keltiriladigan tenglamalar — 8-sinf Algebra test savollari

1.x⁴ − 13x² + 36 = 0 bikvadrat tenglamani yeching.

• A)x = ±2, x = ±3
• B)x = ±2 (faqat)
• C)x = ±3 (faqat)
• D)x = ±6, x = ±1

2.4x⁴ − 17x² + 4 = 0 bikvadrat tenglamani yeching.

• A)x = ±2, x = ±$\frac{1}{2}$
• B)x = ±2 (faqat)
• C)x = ±$\frac{1}{2}$(faqat)
• D)x = ±4, x = ±1

3.x⁴ − 5x² − 36 = 0 bikvadrat tenglamaning haqiqiy ildizlarini toping.

• A)x = ±3
• B)x = ±3, x = ±2i (haqiqiy emas)
• C)x = ±6
• D)ildizi yo‘q

4.Bikvadrat tenglama x² = t almashtirish bilan qanday tenglamaga keltiriladi?

• A)kvadrat tenglamaga
• B)chiziqli tenglamaga
• C)kub tenglamaga
• D)modul qatnashgan tenglamaga

5.ax⁴ + bx² + c = 0 (a ≠ 0) ko‘rinishdagi tenglama qanday nomlanadi?

• A)bikvadrat tenglama
• B)keltirilgan kvadrat tenglama
• C)chala kvadrat tenglama
• D)chiziqli tenglama

6.x⁴ − 16 = 0 tenglamaning haqiqiy ildizlarini toping.

• A)x = ±2
• B)x = ±4
• C)x = ±2, x = ±4
• D)ildizi yo‘q

7.x² = t almashtirishda t qanday shartni qanoatlantirishi kerak (haqiqiy x uchun)?

• A)t ≥ 0
• B)t > 0 shart emas, t har qanday bo‘lishi mumkin
• C)t ≤ 0
• D)t = 0

8.t² − 5t + 4 = 0 (bunda t = x²) tenglamaning musbat ildizlari qaysilar?

• A)t₁ = 1, t₂ = 4
• B)t₁ = −1, t₂ = −4
• C)t₁ = 1, t₂ = −4
• D)t = 5

9.x⁴ − 1 = 0 tenglamaning haqiqiy ildizlarini toping.

• A)x = ±1
• B)x = ±1, x = ±i
• C)x = 1 (bitta ildiz)
• D)ildizi yo‘q

10.x⁴ = 81 tenglamaning haqiqiy ildizlarini toping.

• A)x = ±3
• B)x = ±9
• C)x = 3 (bitta ildiz)
• D)ildizi yo‘q