t^2-sqrt{3}c-6=0 eching

$$t ^ { 2 } - \sqrt { 3 } c - 6 = 0$$

c uchun yechish

$$c=\frac{\sqrt{3}\left(t^{2}-6\right)}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

6 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$t^{2}-\sqrt{3}c=6$$

Ikkala tarafdan t^{2} ni ayirish.

$$-\sqrt{3}c=6-t^{2}$$

Tenglama standart shaklda.

$$\left(-\sqrt{3}\right)c=6-t^{2}$$

Ikki tarafini -\sqrt{3} ga bo‘ling.

$$\frac{\left(-\sqrt{3}\right)c}{-\sqrt{3}}=\frac{6-t^{2}}{-\sqrt{3}}$$

-\sqrt{3} ga bo'lish -\sqrt{3} ga ko'paytirishni bekor qiladi.

$$c=\frac{6-t^{2}}{-\sqrt{3}}$$

6-t^{2} ni -\sqrt{3} ga bo'lish.

$$c=\frac{\sqrt{3}t^{2}}{3}-2\sqrt{3}$$

t uchun yechish

$$t=\sqrt{\sqrt{3}c+6}$$

$$t=-\sqrt{\sqrt{3}c+6}\text{, }c\geq -2\sqrt{3}$$