2x^2+6x+9=cx eching

$$2 x ^ { 2 } + 6 x + 9 = c x$$

c uchun yechish

$$c=2x+6+\frac{9}{x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$cx=2x^{2}+6x+9$$

Tenglama standart shaklda.

$$xc=2x^{2}+6x+9$$

Ikki tarafini x ga bo‘ling.

$$\frac{xc}{x}=\frac{2x^{2}+6x+9}{x}$$

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

$$c=\frac{2x^{2}+6x+9}{x}$$

2x^{2}+6x+9 ni x ga bo'lish.

$$c=2x+6+\frac{9}{x}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{c^{2}-12c-36}+c-6}{4}$$

$$x=\frac{-\sqrt{c^{2}-12c-36}+c-6}{4}$$

x uchun yechish

$$x=\frac{\sqrt{c^{2}-12c-36}+c-6}{4}$$

$$x=\frac{-\sqrt{c^{2}-12c-36}+c-6}{4}\text{, }c\geq 6\sqrt{2}+6\text{ or }c\leq 6-6\sqrt{2}$$