210=2x^2+x4*8 eching

$$210 = 2 { x }^{ 2 } +x4 \cdot 8$$

x_4 uchun yechish

$$x_{4}=\frac{105-x^{2}}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2x^{2}+x_{4}\times 8=210$$

Ikkala tarafdan 2x^{2} ni ayirish.

$$x_{4}\times 8=210-2x^{2}$$

Tenglama standart shaklda.

$$8x_{4}=210-2x^{2}$$

Ikki tarafini 8 ga bo‘ling.

$$\frac{8x_{4}}{8}=\frac{210-2x^{2}}{8}$$

8 ga bo'lish 8 ga ko'paytirishni bekor qiladi.

$$x_{4}=\frac{210-2x^{2}}{8}$$

210-2x^{2} ni 8 ga bo'lish.

$$x_{4}=\frac{105-x^{2}}{4}$$

x uchun yechish (complex solution)

$$x=-\sqrt{105-4x_{4}}$$

$$x=\sqrt{105-4x_{4}}$$

x uchun yechish

$$x=\sqrt{105-4x_{4}}$$

$$x=-\sqrt{105-4x_{4}}\text{, }x_{4}\leq \frac{105}{4}$$