27n^2-909m+400=0 eching

$$27 n ^ { 2 } - 909 m + 400 = 0$$

m uchun yechish

$$m=\frac{3n^{2}}{101}+\frac{400}{909}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 27n^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-909m+400=-27n^{2}$$

Ikkala tarafdan 400 ni ayirish.

$$-909m=-27n^{2}-400$$

Ikki tarafini -909 ga bo‘ling.

$$\frac{-909m}{-909}=\frac{-27n^{2}-400}{-909}$$

-909 ga bo'lish -909 ga ko'paytirishni bekor qiladi.

$$m=\frac{-27n^{2}-400}{-909}$$

-27n^{2}-400 ni -909 ga bo'lish.

$$m=\frac{3n^{2}}{101}+\frac{400}{909}$$

n uchun yechish

$$n=\frac{\sqrt{2727m-1200}}{9}$$

$$n=-\frac{\sqrt{2727m-1200}}{9}\text{, }m\geq \frac{400}{909}$$