{173-[4773+01p^12+(1750+7825)/p]}P=0 eching

$$\{ 173 - [ 4773 + 01 p ^ { 12 } + \frac { ( 1750 + 7825 ) } { p } ] \} P = 0$$

P uchun yechish (complex solution)

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{C}\text{, }&p=-\frac{383}{184}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini p ga ko'paytirish.

$$\left(173-\left(4773+0\times 1p^{12}+\frac{1750+7825}{p}\right)\right)Pp=0$$

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

$$\left(173-\left(4773+0p^{12}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\left(173-\left(4773+0+\frac{1750+7825}{p}\right)\right)Pp=0$$

4773 olish uchun 4773 va 0'ni qo'shing.

$$\left(173-\left(4773+\frac{1750+7825}{p}\right)\right)Pp=0$$

9575 olish uchun 1750 va 7825'ni qo'shing.

$$\left(173-\left(4773+\frac{9575}{p}\right)\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4773 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(173-\left(\frac{4773p}{p}+\frac{9575}{p}\right)\right)Pp=0$$

\frac{4773p}{p} va \frac{9575}{p} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(173-\frac{4773p+9575}{p}\right)Pp=0$$

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

$$\left(\frac{173p}{p}-\frac{4773p+9575}{p}\right)Pp=0$$

\frac{173p}{p} va \frac{4773p+9575}{p} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{173p-\left(4773p+9575\right)}{p}Pp=0$$

173p-\left(4773p+9575\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{173p-4773p-9575}{p}Pp=0$$

173p-4773p-9575 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-4600p-9575}{p}Pp=0$$

\frac{-4600p-9575}{p}P ni yagona kasrga aylantiring.

$$\frac{\left(-4600p-9575\right)P}{p}p=0$$

\frac{\left(-4600p-9575\right)P}{p}p ni yagona kasrga aylantiring.

$$\frac{\left(-4600p-9575\right)Pp}{p}=0$$

Surat va maxrajdagi ikkala p ni qisqartiring.

$$P\left(-4600p-9575\right)=0$$

P ga -4600p-9575 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-4600Pp-9575P=0$$

P'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-4600p-9575\right)P=0$$

0 ni -4600p-9575 ga bo'lish.

$$P=0$$

P uchun yechish

$$\left\{\begin{matrix}P=0\text{, }&p\neq 0\\P\in \mathrm{R}\text{, }&p=-\frac{383}{184}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini p ga ko'paytirish.

$$\left(173-\left(4773+0\times 1p^{12}+\frac{1750+7825}{p}\right)\right)Pp=0$$

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

$$\left(173-\left(4773+0p^{12}+\frac{1750+7825}{p}\right)\right)Pp=0$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$\left(173-\left(4773+0+\frac{1750+7825}{p}\right)\right)Pp=0$$

4773 olish uchun 4773 va 0'ni qo'shing.

$$\left(173-\left(4773+\frac{1750+7825}{p}\right)\right)Pp=0$$

9575 olish uchun 1750 va 7825'ni qo'shing.

$$\left(173-\left(4773+\frac{9575}{p}\right)\right)Pp=0$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4773 ni \frac{p}{p} marotabaga ko'paytirish.

$$\left(173-\left(\frac{4773p}{p}+\frac{9575}{p}\right)\right)Pp=0$$

\frac{4773p}{p} va \frac{9575}{p} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\left(173-\frac{4773p+9575}{p}\right)Pp=0$$

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

$$\left(\frac{173p}{p}-\frac{4773p+9575}{p}\right)Pp=0$$

\frac{173p}{p} va \frac{4773p+9575}{p} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{173p-\left(4773p+9575\right)}{p}Pp=0$$

173p-\left(4773p+9575\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{173p-4773p-9575}{p}Pp=0$$

173p-4773p-9575 kabi iboralarga o‘xshab birlashtiring.

$$\frac{-4600p-9575}{p}Pp=0$$

\frac{-4600p-9575}{p}P ni yagona kasrga aylantiring.

$$\frac{\left(-4600p-9575\right)P}{p}p=0$$

\frac{\left(-4600p-9575\right)P}{p}p ni yagona kasrga aylantiring.

$$\frac{\left(-4600p-9575\right)Pp}{p}=0$$

Surat va maxrajdagi ikkala p ni qisqartiring.

$$P\left(-4600p-9575\right)=0$$

P ga -4600p-9575 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-4600Pp-9575P=0$$

P'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-4600p-9575\right)P=0$$

0 ni -4600p-9575 ga bo'lish.

$$P=0$$

p uchun yechish

$$\left\{\begin{matrix}\\p=-\frac{383}{184}\text{, }&\text{unconditionally}\\p\neq 0\text{, }&P=0\end{matrix}\right,$$