Question
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tenglikni
ganoatlantiradigan larni toping.
(A) .
B) .
C) .
D) .

Ask by Malone Smith. in Uzbekistan
Jan 20,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

, , .

Solution

Berilgan tenglik:
ekvivalent bo‘lishi uchun , va ni topamiz.
Avvalo, tenglikni umumiy paydaga keltiramiz:
Har bir bo‘luvchini kengaytiramiz:
Bu tenglamani yakka x ga nisbatan tenglashtiramiz:
Bu tenglama har bir daraja bo‘yicha teng bo‘lishi uchun quyidagi shartlar bajarilishi kerak:
  1. (x² koeffitsienti uchun)
  2. (x koeffitsienti uchun)
  3. (erkin a’zolar uchun)
Uchinchisi orqali:
Birinchi tenglamaga qo‘shamiz:
Ikkinchi tenglamaga ham qo‘shamiz:
Endi ikki tenglamani yechamiz:
Ikkinchi tenglamadan birinchi tenglamani ayrib:
Endi ni birinchi tenglamaga qo‘ymiz:
Demak, to‘g‘ri javob:
(A) .

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Bonus Knowledge

Bu tenglikni hal qilish uchun, avval ikkala tomonni bir xil kesma (ommaviy kesma) orqali yozamiz. O’ng tomonni quyi kesmani yo’qlikdan chiqarish uchun har bir ko’paytmani ko’paytiramiz:
O’ng tomonning o’nlaridagi ko’paytuvchilarni aniqlashga harakat qilamiz, siz bu yerda ni hosil qilishingiz kerak. ga qarab har bir koeffitsientlarni tenglanganini tekshirish orqali , , va larni topamiz.
Agar siz to’g’ri javobni aniqlashni xohlasangiz, har bir variant uchun varianti koeffitsientlarga qaramay, siz chiziqli tenglamalarni va tengliklarning hosilaviy qoidalarini keyin solishtirib ko’rishingiz mumkin. Har bir sinovdan keyin natijalar birlashtiriladi va qaysi javob to’g’ri ekanligini belgilaymiz.
Natijada, yuqoridagi tavsiya etilgan metodlardan birini tanlab, natijaviy qiymatlarini albatta bilib olish uchun har bir variantni alohida o’lchab chiqish zarur. Matematikaga doir barcha xatoliklarni bartaraf etish va har bir kabinetdagi natijalarni qayta tekshirish har doim yaxshi fikrdir!

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