x^2+4x-y+9=0 eching

$$x ^ { 2 } + 4 x - y + 9 = 0$$

y uchun yechish

$$y=x^{2}+4x+9$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4x-y+9=-x^{2}$$

Ikkala tarafdan 4x ni ayirish.

$$-y+9=-x^{2}-4x$$

Ikkala tarafdan 9 ni ayirish.

$$-y=-x^{2}-4x-9$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-y}{-1}=\frac{-x^{2}-4x-9}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$y=\frac{-x^{2}-4x-9}{-1}$$

-x^{2}-4x-9 ni -1 ga bo'lish.

$$y=x^{2}+4x+9$$

x uchun yechish (complex solution)

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

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

x uchun yechish

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

$$x=-\sqrt{y-5}-2\text{, }y\geq 5$$