3x^2+x+2m-3=0 eching

$$3 x ^ { 2 } + x + 2 m - 3 = 0$$

m uchun yechish

$$m=\frac{3-x-3x^{2}}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 3x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$x+2m-3=-3x^{2}$$

Ikkala tarafdan x ni ayirish.

$$2m-3=-3x^{2}-x$$

3 ni ikki tarafga qo’shing.

$$2m=-3x^{2}-x+3$$

Tenglama standart shaklda.

$$2m=3-x-3x^{2}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2m}{2}=\frac{3-x-3x^{2}}{2}$$

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

$$m=\frac{3-x-3x^{2}}{2}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{37-24m}-1}{6}$$

$$x=\frac{-\sqrt{37-24m}-1}{6}$$

x uchun yechish

$$x=\frac{\sqrt{37-24m}-1}{6}$$

$$x=\frac{-\sqrt{37-24m}-1}{6}\text{, }m\leq \frac{37}{24}$$