2x^2+3y-2=0 eching

$$2 x ^ { 2 } + 3 y - 2 = 0$$

y uchun yechish

$$y=\frac{2-2x^{2}}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$3y-2=-2x^{2}$$

2 ni ikki tarafga qo’shing.

$$3y=-2x^{2}+2$$

Tenglama standart shaklda.

$$3y=2-2x^{2}$$

Ikki tarafini 3 ga bo‘ling.

$$\frac{3y}{3}=\frac{2-2x^{2}}{3}$$

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

$$y=\frac{2-2x^{2}}{3}$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{4-6y}}{2}$$

$$x=\frac{\sqrt{4-6y}}{2}$$

x uchun yechish

$$x=\frac{\sqrt{4-6y}}{2}$$

$$x=-\frac{\sqrt{4-6y}}{2}\text{, }y\leq \frac{2}{3}$$