2n^2+5an-24=0 eching

$$2 n ^ { 2 } + 5 a n - 24 = 0$$

a uchun yechish

$$a=-\frac{2n}{5}+\frac{24}{5n}$$

$$n\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$5an-24=-2n^{2}$$

24 ni ikki tarafga qo’shing.

$$5an=-2n^{2}+24$$

Tenglama standart shaklda.

$$5na=24-2n^{2}$$

Ikki tarafini 5n ga bo‘ling.

$$\frac{5na}{5n}=\frac{24-2n^{2}}{5n}$$

5n ga bo'lish 5n ga ko'paytirishni bekor qiladi.

$$a=\frac{24-2n^{2}}{5n}$$

-2n^{2}+24 ni 5n ga bo'lish.

$$a=-\frac{2n}{5}+\frac{24}{5n}$$

n uchun yechish

$$n=\frac{\sqrt{25a^{2}+192}-5a}{4}$$

$$n=\frac{-\sqrt{25a^{2}+192}-5a}{4}$$