(x-3)^2=6 eching

$$( x - 3 ) ^ { 2 } = 6$$

x uchun yechish

$$x=\sqrt{6}+3\approx 5,449489743$$

$$x=3-\sqrt{6}\approx 0,550510257$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x-3=\sqrt{6} x-3=-\sqrt{6}$$

3 ni tenglamaning ikkala tarafiga qo'shish.

$$x-3-\left(-3\right)=\sqrt{6}-\left(-3\right) x-3-\left(-3\right)=-\sqrt{6}-\left(-3\right)$$

O‘zidan -3 ayirilsa 0 qoladi.

$$x=\sqrt{6}-\left(-3\right) x=-\sqrt{6}-\left(-3\right)$$

\sqrt{6} dan -3 ni ayirish.

$$x=\sqrt{6}+3$$

-\sqrt{6} dan -3 ni ayirish.

$$x=3-\sqrt{6}$$

Tenglama yechildi.

$$x=\sqrt{6}+3 x=3-\sqrt{6}$$