x^2-8x-8y-4=-12y eching

$$x ^ { 2 } - 8 x - 8 y - 4 = - 12 y$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

12y ni ikki tarafga qo’shing.

$$x^{2}-8x-8y-4+12y=0$$

4y ni olish uchun -8y va 12y ni birlashtirish.

$$x^{2}-8x+4y-4=0$$

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

$$-8x+4y-4=-x^{2}$$

8x ni ikki tarafga qo’shing.

$$4y-4=-x^{2}+8x$$

4 ni ikki tarafga qo’shing.

$$4y=-x^{2}+8x+4$$

Tenglama standart shaklda.

$$4y=4+8x-x^{2}$$

Ikki tarafini 4 ga bo‘ling.

$$\frac{4y}{4}=\frac{4+8x-x^{2}}{4}$$

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

$$y=\frac{4+8x-x^{2}}{4}$$

-x^{2}+8x+4 ni 4 ga bo'lish.

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

x uchun yechish (complex solution)

$$x=2\sqrt{5-y}+4$$

$$x=-2\sqrt{5-y}+4$$

x uchun yechish

$$x=2\sqrt{5-y}+4$$

$$x=-2\sqrt{5-y}+4\text{, }y\leq 5$$