4a^2+2b+2c=0 eching

$$4 a ^ { 2 } + 2 b + 2 c = 0$$

b uchun yechish

$$b=-\left(2a^{2}+c\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 4a^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$2b+2c=-4a^{2}$$

Ikkala tarafdan 2c ni ayirish.

$$2b=-4a^{2}-2c$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2b}{2}=\frac{-4a^{2}-2c}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$b=\frac{-4a^{2}-2c}{2}$$

-4a^{2}-2c ni 2 ga bo'lish.

$$b=-2a^{2}-c$$

a uchun yechish (complex solution)

$$a=-\frac{\sqrt{-2b-2c}}{2}$$

$$a=\frac{\sqrt{-2b-2c}}{2}$$

a uchun yechish

$$a=\frac{\sqrt{-2b-2c}}{2}$$

$$a=-\frac{\sqrt{-2b-2c}}{2}\text{, }b\leq -c$$