836/18+θ*x=3sqrt{x^2} eching

$$8 \frac{ 36 }{ 18 } + \theta \times x=3 \sqrt{ { x }^{ 2 } }$$

θ uchun yechish (complex solution)

$$\theta =-\frac{-3\sqrt{x^{2}}+10}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga ko'paytirish.

$$8\times 18+36+18\theta x=54\sqrt{x^{2}}$$

144 hosil qilish uchun 8 va 18 ni ko'paytirish.

$$144+36+18\theta x=54\sqrt{x^{2}}$$

180 olish uchun 144 va 36'ni qo'shing.

$$180+18\theta x=54\sqrt{x^{2}}$$

Ikkala tarafdan 180 ni ayirish.

$$18\theta x=54\sqrt{x^{2}}-180$$

Tenglama standart shaklda.

$$18x\theta =54\sqrt{x^{2}}-180$$

Ikki tarafini 18x ga bo‘ling.

$$\frac{18x\theta }{18x}=\frac{54\sqrt{x^{2}}-180}{18x}$$

18x ga bo'lish 18x ga ko'paytirishni bekor qiladi.

$$\theta =\frac{54\sqrt{x^{2}}-180}{18x}$$

54\sqrt{x^{2}}-180 ni 18x ga bo'lish.

$$\theta =\frac{3\sqrt{x^{2}}-10}{x}$$

θ uchun yechish

$$\theta =-\frac{-3|x|+10}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga ko'paytirish.

$$8\times 18+36+18\theta x=54\sqrt{x^{2}}$$

144 hosil qilish uchun 8 va 18 ni ko'paytirish.

$$144+36+18\theta x=54\sqrt{x^{2}}$$

180 olish uchun 144 va 36'ni qo'shing.

$$180+18\theta x=54\sqrt{x^{2}}$$

Ikkala tarafdan 180 ni ayirish.

$$18\theta x=54\sqrt{x^{2}}-180$$

Tenglama standart shaklda.

$$18x\theta =54\sqrt{x^{2}}-180$$

Ikki tarafini 18x ga bo‘ling.

$$\frac{18x\theta }{18x}=\frac{54|x|-180}{18x}$$

18x ga bo'lish 18x ga ko'paytirishni bekor qiladi.

$$\theta =\frac{54|x|-180}{18x}$$

54|x|-180 ni 18x ga bo'lish.

$$\theta =\frac{3|x|-10}{x}$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=\frac{10}{3-\theta }\text{, }&\theta \neq 3\text{ and }arg(\frac{x\theta +10}{3})<\pi \\x=-\frac{10}{\theta +3}\text{, }&\theta \neq -3\text{ and }arg(\frac{x\theta +10}{3})<\pi \end{matrix}\right,$$

x uchun yechish

$$\left\{\begin{matrix}x=-\frac{10}{\theta -3}\text{, }&\theta <3\\x=-\frac{10}{\theta +3}\text{, }&\theta >-3\end{matrix}\right,$$