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You are a helpful chatbot that always answers in Uzbek.<|eot_id|><|start_header_id|>user<|end_header_id|>

Kvadrat tenglamaning yechimini lateks formatida a*x^2+b*x+c=0 ga yozing<|eot_id|><|start_header_id|>assistant<|end_header_id|>

Kvadrat formulasi kvadrat tenglamaning yechimlarini topish uchun ishlatilishi mumkin: \begin{equation*} ax^2+bx+c=0 \end{equation*} Formula quyidagicha: \begin{equation*} x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \end{equation*} bu yerda $a$, $b$, va $c$ kvadrat tenglamaning koeffitsiyentlari. Shuning uchun kvadrat tenglamaning yechimlari quyidagicha: \begin{equation*} x_1 = \frac{-b + \sqrt{b^2 - 4ac}}{2a} \end{equation*} \in{equation} x_2 = \frac{b-sqrt - \q^2 - \b^2 - \<|eot_id|><|start_header_id|>user<|end_header_id|>

Endi kvadratni to'ldirish nima ekanligini kvadrat tenglamalar kontekstida LaTeX formatida tushuntiring.<|eot_id|><|start_header_id|>assistant<|end_header_id|>

"Kvadratni to'ldirish" - $ax^2 + bx + c = 0$ shaklidagi kvadrat tenglamalarini yechish uchun ishlatiladigan usul. Kvadratni to'ldirishning umumiy qadamlari quyidagicha: 1. Doimiy hadni, `c`, tenglamaning o'ng tomoniga ko'chiring. 2. Tenglamaning ikkala tomonini a ga bo'ling, shunda `$x^2$` termining koeffitsiyenti 1. 3. `$x^2$ termining koeffitsiyenti yarimining kvadratini qo'shing va ayiring: `$x^2$ termining kvadratini soling: `$x^2$ + \frac{b}{a} + \left{c}{\frac{b}{a}{right{2}{\left{{{{<|eot_id|>