x^2-4y-5=0 eching

$$x ^ { 2 } - 4 y - 5 = 0$$

y uchun yechish

$$y=\frac{x^{2}-5}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-4y-5=-x^{2}$$

5 ni ikki tarafga qo’shing.

$$-4y=-x^{2}+5$$

Tenglama standart shaklda.

$$-4y=5-x^{2}$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4y}{-4}=\frac{5-x^{2}}{-4}$$

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

$$y=\frac{5-x^{2}}{-4}$$

-x^{2}+5 ni -4 ga bo'lish.

$$y=\frac{x^{2}-5}{4}$$

x uchun yechish (complex solution)

$$x=-\sqrt{4y+5}$$

$$x=\sqrt{4y+5}$$

x uchun yechish

$$x=\sqrt{4y+5}$$

$$x=-\sqrt{4y+5}\text{, }y\geq -\frac{5}{4}$$