661s=t^2+2/3-t^2 eching

$$661s = \frac{ { t }^{ 2 } +2 }{ 3- { t }^{ 2 } }$$

s uchun yechish

$$s=\frac{t^{2}+2}{661\left(3-t^{2}\right)}$$

$$|t|\neq \sqrt{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini -t^{2}+3 ga ko'paytirish.

$$661s\left(-t^{2}+3\right)=t^{2}+2$$

661s ga -t^{2}+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-661st^{2}+1983s=t^{2}+2$$

s'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-661t^{2}+1983\right)s=t^{2}+2$$

Tenglama standart shaklda.

$$\left(1983-661t^{2}\right)s=t^{2}+2$$

Ikki tarafini -661t^{2}+1983 ga bo‘ling.

$$\frac{\left(1983-661t^{2}\right)s}{1983-661t^{2}}=\frac{t^{2}+2}{1983-661t^{2}}$$

-661t^{2}+1983 ga bo'lish -661t^{2}+1983 ga ko'paytirishni bekor qiladi.

$$s=\frac{t^{2}+2}{1983-661t^{2}}$$

t^{2}+2 ni -661t^{2}+1983 ga bo'lish.

$$s=\frac{t^{2}+2}{661\left(3-t^{2}\right)}$$

t uchun yechish

$$t=\sqrt{\frac{1983s-2}{661s+1}}$$

$$t=-\sqrt{\frac{1983s-2}{661s+1}}\text{, }s\geq \frac{2}{1983}\text{ or }s<-\frac{1}{661}$$