P(n2)/C(n+12)=3/2 eching

$$\frac { P ( n 2 ) } { C ( n + 12 ) } = \frac { 3 } { 2 }$$

C uchun yechish

$$C=\frac{2Pn_{2}}{3\left(n+12\right)}$$

$$n\neq -12\text{ and }n_{2}\neq 0\text{ and }P\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

C qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2C\left(n+12\right) ga, C\left(n+12\right),2 ning eng kichik karralisiga ko‘paytiring.

$$2Pn_{2}=3C\left(n+12\right)$$

3C ga n+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2Pn_{2}=3Cn+36C$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$3Cn+36C=2Pn_{2}$$

C'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3n+36\right)C=2Pn_{2}$$

Ikki tarafini 3n+36 ga bo‘ling.

$$\frac{\left(3n+36\right)C}{3n+36}=\frac{2Pn_{2}}{3n+36}$$

3n+36 ga bo'lish 3n+36 ga ko'paytirishni bekor qiladi.

$$C=\frac{2Pn_{2}}{3n+36}$$

2Pn_{2} ni 3n+36 ga bo'lish.

$$C=\frac{2Pn_{2}}{3\left(n+12\right)}$$

C qiymati 0 teng bo‘lmaydi.

$$C=\frac{2Pn_{2}}{3\left(n+12\right)}\text{, }C\neq 0$$

P uchun yechish

$$P=\frac{3C\left(n+12\right)}{2n_{2}}$$

$$n_{2}\neq 0\text{ and }C\neq 0\text{ and }n\neq -12$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2C\left(n+12\right) ga, C\left(n+12\right),2 ning eng kichik karralisiga ko‘paytiring.

$$2Pn_{2}=3C\left(n+12\right)$$

3C ga n+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2Pn_{2}=3Cn+36C$$

Tenglama standart shaklda.

$$2n_{2}P=3Cn+36C$$

Ikki tarafini 2n_{2} ga bo‘ling.

$$\frac{2n_{2}P}{2n_{2}}=\frac{3C\left(n+12\right)}{2n_{2}}$$

2n_{2} ga bo'lish 2n_{2} ga ko'paytirishni bekor qiladi.

$$P=\frac{3C\left(n+12\right)}{2n_{2}}$$