8-02dt/1+t=175dθ eching

$$\frac { 8 - 02 d t } { 1 + t } = 175 d \theta$$

d uchun yechish

$$d=\frac{8}{175t\theta +2t+175\theta }$$

$$\left(\theta =-\frac{2}{175}\text{ or }t\neq -\frac{175\theta }{175\theta +2}\right)\text{ and }t\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini t+1 ga ko'paytirish.

$$8-2dt=175d\theta \left(t+1\right)$$

175d\theta ga t+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8-2dt=175d\theta t+175d\theta$$

Ikkala tarafdan 175d\theta t ni ayirish.

$$8-2dt-175d\theta t=175d\theta$$

Ikkala tarafdan 175d\theta ni ayirish.

$$8-2dt-175d\theta t-175d\theta =0$$

Ikkala tarafdan 8 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2dt-175d\theta t-175d\theta =-8$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-2t-175\theta t-175\theta \right)d=-8$$

Tenglama standart shaklda.

$$\left(-175t\theta -2t-175\theta \right)d=-8$$

Ikki tarafini -175t\theta -2t-175\theta ga bo‘ling.

$$\frac{\left(-175t\theta -2t-175\theta \right)d}{-175t\theta -2t-175\theta }=-\frac{8}{-175t\theta -2t-175\theta }$$

-175t\theta -2t-175\theta ga bo'lish -175t\theta -2t-175\theta ga ko'paytirishni bekor qiladi.

$$d=-\frac{8}{-175t\theta -2t-175\theta }$$

-8 ni -175t\theta -2t-175\theta ga bo'lish.

$$d=\frac{8}{175t\theta +2t+175\theta }$$

t uchun yechish

$$\left\{\begin{matrix}t=\frac{8-175d\theta }{d\left(175\theta +2\right)}\text{, }&d\neq -4\text{ and }\theta \neq -\frac{2}{175}\text{ and }d\neq 0\\t\neq -1\text{, }&\theta =-\frac{2}{175}\text{ and }d=-4\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

t qiymati -1 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini t+1 ga ko'paytirish.

$$8-2dt=175d\theta \left(t+1\right)$$

175d\theta ga t+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8-2dt=175d\theta t+175d\theta$$

Ikkala tarafdan 175d\theta t ni ayirish.

$$8-2dt-175d\theta t=175d\theta$$

Ikkala tarafdan 8 ni ayirish.

$$-2dt-175d\theta t=175d\theta -8$$

t'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-2d-175d\theta \right)t=175d\theta -8$$

Tenglama standart shaklda.

$$\left(-175d\theta -2d\right)t=175d\theta -8$$

Ikki tarafini -2d-175\theta d ga bo‘ling.

$$\frac{\left(-175d\theta -2d\right)t}{-175d\theta -2d}=\frac{175d\theta -8}{-175d\theta -2d}$$

-2d-175\theta d ga bo'lish -2d-175\theta d ga ko'paytirishni bekor qiladi.

$$t=\frac{175d\theta -8}{-175d\theta -2d}$$

175d\theta -8 ni -2d-175\theta d ga bo'lish.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}$$

t qiymati -1 teng bo‘lmaydi.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}\text{, }t\neq -1$$