6x+6/4x-6+8+x*-2)=0 eching

$$\frac{ 6x+6 }{ 4x } -6+8+x \times -2)=0$$

Baholash

$$-2x+\frac{7}{2}+\frac{3}{2x}$$

Qisqa yechim qadamlari

\frac{6x+6}{4x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{6\left(x+1\right)}{4x}-6+8+x\left(-2\right)$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3\left(x+1\right)}{2x}-6+8+x\left(-2\right)$$

2 olish uchun -6 va 8'ni qo'shing.

$$\frac{3\left(x+1\right)}{2x}+2+x\left(-2\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2+x\left(-2\right) ni \frac{2x}{2x} marotabaga ko'paytirish.

$$\frac{3\left(x+1\right)}{2x}+\frac{\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

\frac{3\left(x+1\right)}{2x} va \frac{\left(2+x\left(-2\right)\right)\times 2x}{2x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x+3+4x-4x^{2}}{2x}$$

3x+3+4x-4x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x+3-4x^{2}}{2x}$$

\frac{7x+3-4x^{2}}{2x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-4\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{2x}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

-\frac{1}{8}\sqrt{97}+\frac{7}{8} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}\right)-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

-\frac{1}{8}\sqrt{97} ning teskarisi \frac{1}{8}\sqrt{97} ga teng.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

\frac{1}{8}\sqrt{97}+\frac{7}{8} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2 ga x+\frac{1}{8}\sqrt{97}-\frac{7}{8} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(-2x-2\times \frac{1}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{-2}{8} hosil qilish uchun -2 va \frac{1}{8} ni ko'paytirish.

$$\frac{\left(-2x+\frac{-2}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{-2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{7}{8}\right) ni yagona kasrga aylantiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{-2\left(-7\right)}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

14 hosil qilish uchun -2 va -7 ni ko'paytirish.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{14}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4} ifodaning har bir elementini x-\frac{1}{8}\sqrt{97}-\frac{7}{8} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\sqrt{97}\left(-\frac{1}{8}\right)\sqrt{97}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

97 hosil qilish uchun \sqrt{97} va \sqrt{97} ni ko'paytirish.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{1}{8}\right) ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{-2\left(-1\right)}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

2 hosil qilish uchun -2 va -1 ni ko'paytirish.

$$\frac{-2x^{2}+\frac{2}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{7}{8}\right) ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{-2\left(-7\right)}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

14 hosil qilish uchun -2 va -7 ni ko'paytirish.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{14}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{7}{4}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

0 ni olish uchun \frac{1}{4}x\sqrt{97} va -\frac{1}{4}\sqrt{97}x ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-\frac{1}{4}\times 97 ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-97}{4} kasri manfiy belgini olib tashlash bilan -\frac{97}{4} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{97}{4} ni -\frac{1}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97\left(-1\right)}{4\times 8}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-97\left(-1\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{4} ni -\frac{7}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{-\left(-7\right)}{4\times 8}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-\left(-7\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{7}{2}x ni olish uchun \frac{7}{4}x va \frac{7}{4}x ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{4} ni -\frac{1}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7\left(-1\right)}{4\times 8}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{7\left(-1\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{-7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-7}{32} kasri manfiy belgini olib tashlash bilan -\frac{7}{32} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}-\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

0 ni olish uchun \frac{7}{32}\sqrt{97} va -\frac{7}{32}\sqrt{97} ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{4} ni -\frac{7}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7\left(-7\right)}{4\times 8}}{x}$$

\frac{7\left(-7\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{-49}{32}}{x}$$

\frac{-49}{32} kasri manfiy belgini olib tashlash bilan -\frac{49}{32} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}-\frac{49}{32}}{x}$$

\frac{97}{32} va \frac{49}{32} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97-49}{32}}{x}$$

48 olish uchun 97 dan 49 ni ayirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{48}{32}}{x}$$

\frac{48}{32} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{3}{2}}{x}$$

Kengaytirish

$$-2x+\frac{7}{2}+\frac{3}{2x}$$

Qisqa yechim qadamlari

\frac{6x+6}{4x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{6\left(x+1\right)}{4x}-6+8+x\left(-2\right)$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{3\left(x+1\right)}{2x}-6+8+x\left(-2\right)$$

2 olish uchun -6 va 8'ni qo'shing.

$$\frac{3\left(x+1\right)}{2x}+2+x\left(-2\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2+x\left(-2\right) ni \frac{2x}{2x} marotabaga ko'paytirish.

$$\frac{3\left(x+1\right)}{2x}+\frac{\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

\frac{3\left(x+1\right)}{2x} va \frac{\left(2+x\left(-2\right)\right)\times 2x}{2x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x}{2x}$$

3\left(x+1\right)+\left(2+x\left(-2\right)\right)\times 2x ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x+3+4x-4x^{2}}{2x}$$

3x+3+4x-4x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{7x+3-4x^{2}}{2x}$$

\frac{7x+3-4x^{2}}{2x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{-4\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{2x}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

-\frac{1}{8}\sqrt{97}+\frac{7}{8} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-2\left(x-\left(-\frac{1}{8}\sqrt{97}\right)-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

-\frac{1}{8}\sqrt{97} ning teskarisi \frac{1}{8}\sqrt{97} ga teng.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\left(\frac{1}{8}\sqrt{97}+\frac{7}{8}\right)\right)}{x}$$

\frac{1}{8}\sqrt{97}+\frac{7}{8} teskarisini topish uchun har birining teskarisini toping.

$$\frac{-2\left(x+\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2 ga x+\frac{1}{8}\sqrt{97}-\frac{7}{8} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(-2x-2\times \frac{1}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{-2}{8} hosil qilish uchun -2 va \frac{1}{8} ni ko'paytirish.

$$\frac{\left(-2x+\frac{-2}{8}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{-2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}-2\left(-\frac{7}{8}\right)\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{7}{8}\right) ni yagona kasrga aylantiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{-2\left(-7\right)}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

14 hosil qilish uchun -2 va -7 ni ko'paytirish.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{14}{8}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\left(-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4}\right)\left(x-\frac{1}{8}\sqrt{97}-\frac{7}{8}\right)}{x}$$

-2x-\frac{1}{4}\sqrt{97}+\frac{7}{4} ifodaning har bir elementini x-\frac{1}{8}\sqrt{97}-\frac{7}{8} ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\sqrt{97}\left(-\frac{1}{8}\right)\sqrt{97}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

97 hosil qilish uchun \sqrt{97} va \sqrt{97} ni ko'paytirish.

$$\frac{-2x^{2}-2x\left(-\frac{1}{8}\right)\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{1}{8}\right) ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{-2\left(-1\right)}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

2 hosil qilish uchun -2 va -1 ni ko'paytirish.

$$\frac{-2x^{2}+\frac{2}{8}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{2}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}-2x\left(-\frac{7}{8}\right)-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-2\left(-\frac{7}{8}\right) ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{-2\left(-7\right)}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

14 hosil qilish uchun -2 va -7 ni ko'paytirish.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{14}{8}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{14}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{1}{4}x\sqrt{97}+\frac{7}{4}x-\frac{1}{4}\sqrt{97}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

0 ni olish uchun \frac{1}{4}x\sqrt{97} va -\frac{1}{4}\sqrt{97}x ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{1}{4}\times 97\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

-\frac{1}{4}\times 97 ni yagona kasrga aylantiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-97}{4} kasri manfiy belgini olib tashlash bilan -\frac{97}{4} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{4}x-\frac{97}{4}\left(-\frac{1}{8}\right)-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{97}{4} ni -\frac{1}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{-97\left(-1\right)}{4\times 8}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-97\left(-1\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}-\frac{1}{4}\sqrt{97}\left(-\frac{7}{8}\right)+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{4} ni -\frac{7}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{-\left(-7\right)}{4\times 8}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-\left(-7\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{4}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}x+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{7}{2}x ni olish uchun \frac{7}{4}x va \frac{7}{4}x ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{1}{8}\right)\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{4} ni -\frac{1}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{7\left(-1\right)}{4\times 8}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{7\left(-1\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}+\frac{-7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

\frac{-7}{32} kasri manfiy belgini olib tashlash bilan -\frac{7}{32} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{32}\sqrt{97}-\frac{7}{32}\sqrt{97}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

0 ni olish uchun \frac{7}{32}\sqrt{97} va -\frac{7}{32}\sqrt{97} ni birlashtirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7}{4}\left(-\frac{7}{8}\right)}{x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{4} ni -\frac{7}{8} ga ko‘paytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{7\left(-7\right)}{4\times 8}}{x}$$

\frac{7\left(-7\right)}{4\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}+\frac{-49}{32}}{x}$$

\frac{-49}{32} kasri manfiy belgini olib tashlash bilan -\frac{49}{32} sifatida qayta yozilishi mumkin.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97}{32}-\frac{49}{32}}{x}$$

\frac{97}{32} va \frac{49}{32} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{97-49}{32}}{x}$$

48 olish uchun 97 dan 49 ni ayirish.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{48}{32}}{x}$$

\frac{48}{32} ulushini 16 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{-2x^{2}+\frac{7}{2}x+\frac{3}{2}}{x}$$