2/3u_k^2-60u_{13}+8662/3=0 eching

$$\frac { 2 } { 3 } u _ { k } ^ { 2 } - 60 u _ { 13 } + 866 \frac { 2 } { 3 } = 0$$

u_13 uchun yechish

$$u_{13}=\frac{u_{k}^{2}+1300}{90}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 3 ga ko'paytirish.

$$2u_{k}^{2}-180u_{13}+866\times 3+2=0$$

2598 hosil qilish uchun 866 va 3 ni ko'paytirish.

$$2u_{k}^{2}-180u_{13}+2598+2=0$$

2600 olish uchun 2598 va 2'ni qo'shing.

$$2u_{k}^{2}-180u_{13}+2600=0$$

Ikkala tarafdan 2u_{k}^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-180u_{13}+2600=-2u_{k}^{2}$$

Ikkala tarafdan 2600 ni ayirish.

$$-180u_{13}=-2u_{k}^{2}-2600$$

Ikki tarafini -180 ga bo‘ling.

$$\frac{-180u_{13}}{-180}=\frac{-2u_{k}^{2}-2600}{-180}$$

-180 ga bo'lish -180 ga ko'paytirishni bekor qiladi.

$$u_{13}=\frac{-2u_{k}^{2}-2600}{-180}$$

-2u_{k}^{2}-2600 ni -180 ga bo'lish.

$$u_{13}=\frac{u_{k}^{2}}{90}+\frac{130}{9}$$

u_k uchun yechish (complex solution)

$$u_{k}=-\sqrt{90u_{13}-1300}$$

$$u_{k}=\sqrt{90u_{13}-1300}$$

u_k uchun yechish

$$u_{k}=\sqrt{90u_{13}-1300}$$

$$u_{k}=-\sqrt{90u_{13}-1300}\text{, }u_{13}\geq \frac{130}{9}$$