{173-[14773+01p^12+(1750+7325)/p]}P=0 eching

$$\{ 173 - [ 14773 + 01 p ^ { 12 } + \frac { ( 1750 + 7325 ) } { p } ] \} P = 0$$

P uchun yechish (complex solution)

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{C}\text{, }&p=-\frac{363}{584}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini p ga ko'paytirish.

$$\left(173-\left(14773+0\times 1p^{12}+\frac{1750+7325}{p}\right)\right)Pp=0$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\left(173-\left(14773+0p^{12}+\frac{1750+7325}{p}\right)\right)Pp=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\left(173-\left(14773+0+\frac{1750+7325}{p}\right)\right)Pp=0$$

14773 olish uchun 14773 va 0'ni qo'shing.

$$\left(173-\left(14773+\frac{1750+7325}{p}\right)\right)Pp=0$$

9075 olish uchun 1750 va 7325'ni qo'shing.

$$\left(173-\left(14773+\frac{9075}{p}\right)\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 14773 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(173-\left(\frac{14773p}{p}+\frac{9075}{p}\right)\right)Pp=0$$

\frac{14773p}{p} va \frac{9075}{p} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(173-\frac{14773p+9075}{p}\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 173 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(\frac{173p}{p}-\frac{14773p+9075}{p}\right)Pp=0$$

\frac{173p}{p} va \frac{14773p+9075}{p} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{173p-\left(14773p+9075\right)}{p}Pp=0$$

173p-\left(14773p+9075\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{173p-14773p-9075}{p}Pp=0$$

173p-14773p-9075 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-14600p-9075}{p}Pp=0$$

\frac{-14600p-9075}{p}P ni yagona kasrga aylantiring.

$$\frac{\left(-14600p-9075\right)P}{p}p=0$$

\frac{\left(-14600p-9075\right)P}{p}p ni yagona kasrga aylantiring.

$$\frac{\left(-14600p-9075\right)Pp}{p}=0$$

Surat va maxrajdagi ikkala p ni qisqartiring.

$$P\left(-14600p-9075\right)=0$$

P ga -14600p-9075 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-14600Pp-9075P=0$$

P'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-14600p-9075\right)P=0$$

0 ni -14600p-9075 ga bo'lish.

$$P=0$$

P uchun yechish

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{R}\text{, }&p=-\frac{363}{584}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini p ga ko'paytirish.

$$\left(173-\left(14773+0\times 1p^{12}+\frac{1750+7325}{p}\right)\right)Pp=0$$

0 hosil qilish uchun 0 va 1 ni ko'paytirish.

$$\left(173-\left(14773+0p^{12}+\frac{1750+7325}{p}\right)\right)Pp=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\left(173-\left(14773+0+\frac{1750+7325}{p}\right)\right)Pp=0$$

14773 olish uchun 14773 va 0'ni qo'shing.

$$\left(173-\left(14773+\frac{1750+7325}{p}\right)\right)Pp=0$$

9075 olish uchun 1750 va 7325'ni qo'shing.

$$\left(173-\left(14773+\frac{9075}{p}\right)\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 14773 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(173-\left(\frac{14773p}{p}+\frac{9075}{p}\right)\right)Pp=0$$

\frac{14773p}{p} va \frac{9075}{p} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(173-\frac{14773p+9075}{p}\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 173 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(\frac{173p}{p}-\frac{14773p+9075}{p}\right)Pp=0$$

\frac{173p}{p} va \frac{14773p+9075}{p} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{173p-\left(14773p+9075\right)}{p}Pp=0$$

173p-\left(14773p+9075\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{173p-14773p-9075}{p}Pp=0$$

173p-14773p-9075 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-14600p-9075}{p}Pp=0$$

\frac{-14600p-9075}{p}P ni yagona kasrga aylantiring.

$$\frac{\left(-14600p-9075\right)P}{p}p=0$$

\frac{\left(-14600p-9075\right)P}{p}p ni yagona kasrga aylantiring.

$$\frac{\left(-14600p-9075\right)Pp}{p}=0$$

Surat va maxrajdagi ikkala p ni qisqartiring.

$$P\left(-14600p-9075\right)=0$$

P ga -14600p-9075 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-14600Pp-9075P=0$$

P'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-14600p-9075\right)P=0$$

0 ni -14600p-9075 ga bo'lish.

$$P=0$$

p uchun yechish

$$\left\{\begin{matrix}\\p=-\frac{363}{584}\text{, }&\text{unconditionally}\\p\neq 0\text{, }&P=0\end{matrix}\right,$$