0=b^2-4ac eching

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

a uchun yechish

$$\left\{\begin{matrix}a=\frac{b^{2}}{4c}\text{, }&c\neq 0\\a\in \mathrm{R}\text{, }&b=0\text{ and }c=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$b^{2}-4ac=0$$

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

$$-4ac=-b^{2}$$

Tenglama standart shaklda.

$$\left(-4c\right)a=-b^{2}$$

Ikki tarafini -4c ga bo‘ling.

$$\frac{\left(-4c\right)a}{-4c}=-\frac{b^{2}}{-4c}$$

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

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

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

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

b uchun yechish

$$b=2\sqrt{ac}$$

$$b=-2\sqrt{ac}\text{, }\left(c\geq 0\text{ and }a\geq 0\right)\text{ or }\left(a\leq 0\text{ and }c\leq 0\right)$$