2a^2-12a+6m=0 eching

$$2 a ^ { 2 } - 12 a + 6 m = 0$$

m uchun yechish

$$m=-\frac{a\left(a-6\right)}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-12a+6m=-2a^{2}$$

12a ni ikki tarafga qo’shing.

$$6m=-2a^{2}+12a$$

Tenglama standart shaklda.

$$6m=12a-2a^{2}$$

Ikki tarafini 6 ga bo‘ling.

$$\frac{6m}{6}=\frac{2a\left(6-a\right)}{6}$$

6 ga bo'lish 6 ga ko'paytirishni bekor qiladi.

$$m=\frac{2a\left(6-a\right)}{6}$$

2a\left(6-a\right) ni 6 ga bo'lish.

$$m=\frac{a\left(6-a\right)}{3}$$

a uchun yechish (complex solution)

$$a=\sqrt{9-3m}+3$$

$$a=-\sqrt{9-3m}+3$$

a uchun yechish

$$a=\sqrt{9-3m}+3$$

$$a=-\sqrt{9-3m}+3\text{, }m\leq 3$$