y^2+16y-4x+4=0 eching

$$y ^ { 2 } + 16 y - 4 x + 4 = 0$$

x uchun yechish

$$x=\frac{y^{2}+16y+4}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$16y-4x+4=-y^{2}$$

Ikkala tarafdan 16y ni ayirish.

$$-4x+4=-y^{2}-16y$$

Ikkala tarafdan 4 ni ayirish.

$$-4x=-y^{2}-16y-4$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4x}{-4}=\frac{-y^{2}-16y-4}{-4}$$

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

$$x=\frac{-y^{2}-16y-4}{-4}$$

-y^{2}-16y-4 ni -4 ga bo'lish.

$$x=\frac{y^{2}}{4}+4y+1$$

y uchun yechish (complex solution)

$$y=2\sqrt{x+15}-8$$

$$y=-2\sqrt{x+15}-8$$

y uchun yechish

$$y=2\sqrt{x+15}-8$$

$$y=-2\sqrt{x+15}-8\text{, }x\geq -15$$