Xayoliy ildizlarga EGA kvadrat tenglamalarga misollar. Kvadrat ildiz: hisoblash formulalari. Kvadrat tenglama ildizlarini topish formulasi. Kvadrat tenglama nima?

X2 + 9x + 20 \u003d 0 tenglamani eching
Qarorni ko'rib chiqing va javob bering


\\ begin (case) x_1 + x_2 \u003d -9 \\\\ x_1 \\ cdot x_2 \u003d 20 \\ end (case)
Tanlash bo'yicha biz x_1 \u003d -4, x_2 \u003d -5 ekanligini aniqlaymiz.
Javob: -4, -5.

5. 
   X 2 - 7x - 30 \u003d 0 tenglamani eching
   Qarorni ko'rib chiqing va javob bering
   

Layf xakerning uchinchi qismini ko'ring (Vetnam teoremasi)
Ushbu tenglamada a \u003d 1, shuning uchun biz buni yozishimiz mumkin \\ begin (case) x_1 + x_2 \u003d 7 \\\\ x_1 \\ cdot x_2 \u003d -30 \\ end (case)
Tanlash orqali x_1 \u003d 10, x_2 \u003d -3 ekanligini aniqlaymiz.
Javob: 10, -3.

6. 
   X2 - 19x + 18 \u003d 0 tenglamani eching
   Qarorni ko'rib chiqing va javob bering
   

Avval layf-xakerni ko'ring
Ushbu tenglamada a \u003d 1, b \u003d -19, c \u003d 18. Shunday qilib, a + b + c \u003d 0, qaerdan x_1 \u003d 1, x_2 \u003d \\ frac (c) (a) \u003d \\ frac (18) (1) \u003d 18.
Javob: 1, 18.

7. 
   X2 + 7x + 6 \u003d 0 tenglamani eching
   Qarorni ko'rib chiqing va javob bering
   

Layf xakerni ikkinchi ko'ring
Ushbu tenglamada a \u003d 1, b \u003d 7, c \u003d 6. Shunday qilib, a + c \u003d b, qaerdan x_1 \u003d -1, x_2 \u003d - \\ frac (c) (a) \u003d - \\ frac (6) (1) \u003d - 6.
Javob: -1, -6.

8. 
   X2 - 8x + 12 \u003d 0 tenglamani eching
   Qarorni ko'rib chiqing va javob bering
   

Layf xakerning uchinchi qismini ko'ring (Vetnam teoremasi)
Ushbu tenglamada a \u003d 1, shuning uchun biz buni yozishimiz mumkin \\ begin (case) x_1 + x_2 \u003d 8 \\\\ x_1 \\ cdot x_2 \u003d 12 \\ end (case)
Tanlash orqali biz x_1 \u003d 6, x_2 \u003d 2 ekanligini aniqlaymiz.
Javob: 6, 2.

9.