x^2-10z+25=0 eching

$$x ^ { 2 } - 10 z + 25 = 0$$

z uchun yechish

$$z=\frac{x^{2}+25}{10}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-10z+25=-x^{2}$$

Ikkala tarafdan 25 ni ayirish.

$$-10z=-x^{2}-25$$

Ikki tarafini -10 ga bo‘ling.

$$\frac{-10z}{-10}=\frac{-x^{2}-25}{-10}$$

-10 ga bo'lish -10 ga ko'paytirishni bekor qiladi.

$$z=\frac{-x^{2}-25}{-10}$$

-x^{2}-25 ni -10 ga bo'lish.

$$z=\frac{x^{2}}{10}+\frac{5}{2}$$

x uchun yechish (complex solution)

$$x=-\sqrt{10z-25}$$

$$x=\sqrt{10z-25}$$

x uchun yechish

$$x=\sqrt{10z-25}$$

$$x=-\sqrt{10z-25}\text{, }z\geq \frac{5}{2}$$