Viyet teoremasi. Kvadrat uchhadni chiziqli ko‘paytuvchilarga ajratish — 8-sinf Algebra test savollari

1.Viyet teoremasiga ko‘ra x² − 3x − 4 = 0 tenglamaning ildizlari yig‘indisi va ko‘paytmasini toping.

• A)x₁+x₂ = 3, x₁·x₂ = −4
• B)x₁+x₂ = −3, x₁·x₂ = 4
• C)x₁+x₂ = 3, x₁·x₂ = 4
• D)x₁+x₂ = −3, x₁·x₂ = −4

2.x² − 7x + 10 = 0 kvadrat uchhadni chiziqli ko‘paytuvchilarga ajrating.

• A)(x − 2)(x − 5)
• B)(x + 2)(x + 5)
• C)(x − 2)(x + 5)
• D)(x + 2)(x − 5)

3.Ildizlari yig‘indisi −5 va ko‘paytmasi 6 bo‘lgan keltirilgan kvadrat tenglamani tuzing.

• A)x² + 5x + 6 = 0
• B)x² − 5x + 6 = 0
• C)x² + 5x − 6 = 0
• D)x² − 5x − 6 = 0

4.x² + 5x + 6 = 0 tenglamaning ildizlarini Viyet teoremasidan foydalanib toping.

• A)x₁ = −2, x₂ = −3
• B)x₁ = 2, x₂ = 3
• C)x₁ = −2, x₂ = 3
• D)x₁ = 2, x₂ = −3

5.Viyet teoremasiga ko‘ra x² + px + q = 0 tenglama uchun x₁ + x₂ nimaga teng?

• A)−p
• B)p
• C)q
• D)−q

6.Viyet teoremasiga ko‘ra x² + px + q = 0 tenglama uchun x₁ · x₂ nimaga teng?

• A)q
• B)−q
• C)p
• D)−p

7.x² − 8x + 15 = 0 tenglamaning ildizlarini Viyet teoremasi yordamida toping.

• A)x₁ = 3, x₂ = 5
• B)x₁ = −3, x₂ = −5
• C)x₁ = 3, x₂ = −5
• D)x₁ = 15, x₂ = 1

8.Ildizlari 2 va 7 bo‘lgan keltirilgan kvadrat tenglamani tuzing.

• A)x² − 9x + 14 = 0
• B)x² + 9x + 14 = 0
• C)x² − 9x − 14 = 0
• D)x² + 9x − 14 = 0

9.x² − x − 6 = 0 tenglamaning ildizlarini Viyet teoremasi yordamida toping.

• A)x₁ = 3, x₂ = −2
• B)x₁ = −3, x₂ = 2
• C)x₁ = 3, x₂ = 2
• D)x₁ = −3, x₂ = −2

10.Viyet teoremasi qaysi kvadrat tenglamalar uchun eng qulay qo‘llaniladi?

• A)keltirilgan (a = 1) kvadrat tenglamalar uchun
• B)faqat a > 1 bo‘lgan tenglamalar uchun
• C)faqat chala kvadrat tenglamalar uchun
• D)barcha chiziqli tenglamalar uchun