x^2-5x+2a=0 eching

$$x ^ { 2 } - 5 x + 2 a = 0$$

a uchun yechish

$$a=-\frac{x\left(x-5\right)}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-5x+2a=-x^{2}$$

5x ni ikki tarafga qo’shing.

$$2a=-x^{2}+5x$$

Tenglama standart shaklda.

$$2a=5x-x^{2}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2a}{2}=\frac{x\left(5-x\right)}{2}$$

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

$$a=\frac{x\left(5-x\right)}{2}$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{25-8a}+5}{2}$$

$$x=\frac{-\sqrt{25-8a}+5}{2}$$

x uchun yechish

$$x=\frac{\sqrt{25-8a}+5}{2}$$

$$x=\frac{-\sqrt{25-8a}+5}{2}\text{, }a\leq \frac{25}{8}$$