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Tenglama va ildizlar o‘yini

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Tenglama va ildizlar o‘yini

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Tenglama ildizlarini topish

Created by

Alijon Muhammadiyev
Alijon Muhammadiyev
Uzbekistan

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Tenglama va ildizlar o‘yini
 

Tenglama va ildizlar o‘yiniOnline version

Tenglama ildizlarini topish

by Alijon Muhammadiyev
1

Kvadrat tenglama ax^2+bx+c=0 ning ildizlari qanday topiladi?

2

Discriminant D nima?

3

Agar D>0 bo‘lsa, tenglama nechta real ildizga ega?

4

Agar D=0 bo‘lsa, tenglama nechta ildizga ega?

5

Quyidagilar ichida Vieta qoidalari bilan mos keladigan narsa nima?

6

Quyidagi tenglama uchun ildizlar qanday topiladi? 2x^2-3x+1=0

7

Kvadrat tenglamada a=0 bo‘lsa nima bo‘ladi?

8

Ildizlar yig‘indisi va mahsuloti nima?

9

2x^2-5x+2=0 ning ildizlari qanchaga teng?

10

Tenglama x^2-4=0 ning ildizlari?

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To‘g‘ri formulada diskriminant b^2-4ac bo‘ladi; ildizlar bitta ildiz bilan ham bo‘lmaydi.

Discriminant ildizlar sonini ko‘rsatadi: D>0 ikki real ildiz, D=0 bitta ildiz.

D>0 bo‘lsa ikkita real ildiz bo‘ladi.

D=0 bo‘lsa ildizlar bitta bo‘ladi (ikki kiritilgan nuqta birga keladi).

Vieta qoidalariga ko‘ra sh: x1+x2 = -b/a, x1x2 = c/a.

To‘g‘ri diskriminant D = 9-8 =1; ildizlar (3 ±1)/4.

a=0 bo‘lsa tenglama nx^2 degan ko‘rinishda bo‘ladi, kvadrat emas.

Noto‘g‘ri ko‘rsatmalar; to‘g‘ri formulalar -b/a, c/a.

D=25-16=9; ildizlar (5±3)/4 → 2 yoki 0.5.

Tenglama x^2=4; ildizlar ±2.

 
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