3(x-2)^2=5? eching

$$3 ( x - 2 ) ^ { 2 } = 5 ?$$

x uchun yechish

$$x=\frac{\sqrt{15}}{3}+2\approx 3,290994449$$

$$x=-\frac{\sqrt{15}}{3}+2\approx 0,709005551$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 3 ga bo‘ling.

$$\frac{3\left(x-2\right)^{2}}{3}=\frac{5}{3}$$

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

$$\left(x-2\right)^{2}=\frac{5}{3}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x-2=\frac{\sqrt{15}}{3} x-2=-\frac{\sqrt{15}}{3}$$

2 ni tenglamaning ikkala tarafiga qo'shish.

$$x-2-\left(-2\right)=\frac{\sqrt{15}}{3}-\left(-2\right) x-2-\left(-2\right)=-\frac{\sqrt{15}}{3}-\left(-2\right)$$

O‘zidan -2 ayirilsa 0 qoladi.

$$x=\frac{\sqrt{15}}{3}-\left(-2\right) x=-\frac{\sqrt{15}}{3}-\left(-2\right)$$

\frac{\sqrt{15}}{3} dan -2 ni ayirish.

$$x=\frac{\sqrt{15}}{3}+2$$

-\frac{\sqrt{15}}{3} dan -2 ni ayirish.

$$x=-\frac{\sqrt{15}}{3}+2$$

Tenglama yechildi.

$$x=\frac{\sqrt{15}}{3}+2 x=-\frac{\sqrt{15}}{3}+2$$