y_a^2+24x+16=0 eching

$$y _ { a } ^ { 2 } + 24 x + 16 = 0$$

x uchun yechish

$$x=-\frac{y_{a}^{2}}{24}-\frac{2}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$24x+16=-y_{a}^{2}$$

Ikkala tarafdan 16 ni ayirish.

$$24x=-y_{a}^{2}-16$$

Ikki tarafini 24 ga bo‘ling.

$$\frac{24x}{24}=\frac{-y_{a}^{2}-16}{24}$$

24 ga bo'lish 24 ga ko'paytirishni bekor qiladi.

$$x=\frac{-y_{a}^{2}-16}{24}$$

-y_{a}^{2}-16 ni 24 ga bo'lish.

$$x=-\frac{y_{a}^{2}}{24}-\frac{2}{3}$$

y_a uchun yechish (complex solution)

$$y_{a}=-2\sqrt{-6x-4}$$

$$y_{a}=2\sqrt{-6x-4}$$

y_a uchun yechish

$$y_{a}=2\sqrt{-6x-4}$$

$$y_{a}=-2\sqrt{-6x-4}\text{, }x\leq -\frac{2}{3}$$