x^2-14t+49=0 eching

$$x ^ { 2 } - 14 t + 49 = 0$$

t uchun yechish

$$t=\frac{x^{2}+49}{14}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-14t+49=-x^{2}$$

Ikkala tarafdan 49 ni ayirish.

$$-14t=-x^{2}-49$$

Ikki tarafini -14 ga bo‘ling.

$$\frac{-14t}{-14}=\frac{-x^{2}-49}{-14}$$

-14 ga bo'lish -14 ga ko'paytirishni bekor qiladi.

$$t=\frac{-x^{2}-49}{-14}$$

-x^{2}-49 ni -14 ga bo'lish.

$$t=\frac{x^{2}}{14}+\frac{7}{2}$$

x uchun yechish (complex solution)

$$x=-\sqrt{14t-49}$$

$$x=\sqrt{14t-49}$$

x uchun yechish

$$x=\sqrt{14t-49}$$

$$x=-\sqrt{14t-49}\text{, }t\geq \frac{7}{2}$$