2x^2-5y-1=0 eching

$$2 x ^ { 2 } - 5 y - 1 = 0$$

y uchun yechish

$$y=\frac{2x^{2}-1}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-5y-1=-2x^{2}$$

1 ni ikki tarafga qo’shing.

$$-5y=-2x^{2}+1$$

Tenglama standart shaklda.

$$-5y=1-2x^{2}$$

Ikki tarafini -5 ga bo‘ling.

$$\frac{-5y}{-5}=\frac{1-2x^{2}}{-5}$$

-5 ga bo'lish -5 ga ko'paytirishni bekor qiladi.

$$y=\frac{1-2x^{2}}{-5}$$

-2x^{2}+1 ni -5 ga bo'lish.

$$y=\frac{2x^{2}-1}{5}$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{10y+2}}{2}$$

$$x=\frac{\sqrt{10y+2}}{2}$$

x uchun yechish

$$x=\frac{\sqrt{10y+2}}{2}$$

$$x=-\frac{\sqrt{10y+2}}{2}\text{, }y\geq -\frac{1}{5}$$