3x^2+4y-6=0 eching

$$3 x ^ { 2 } + 4 y - 6 = 0$$

y uchun yechish

$$y=-\frac{3x^{2}}{4}+\frac{3}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$4y-6=-3x^{2}$$

6 ni ikki tarafga qo’shing.

$$4y=-3x^{2}+6$$

Tenglama standart shaklda.

$$4y=6-3x^{2}$$

Ikki tarafini 4 ga bo‘ling.

$$\frac{4y}{4}=\frac{6-3x^{2}}{4}$$

4 ga bo'lish 4 ga ko'paytirishni bekor qiladi.

$$y=\frac{6-3x^{2}}{4}$$

-3x^{2}+6 ni 4 ga bo'lish.

$$y=-\frac{3x^{2}}{4}+\frac{3}{2}$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{18-12y}}{3}$$

$$x=\frac{\sqrt{18-12y}}{3}$$

x uchun yechish

$$x=\frac{\sqrt{18-12y}}{3}$$

$$x=-\frac{\sqrt{18-12y}}{3}\text{, }y\leq \frac{3}{2}$$