25(x+2)^2-36=0 eching

$$25 ( x + 2 ) ^ { 2 } - 36 = 0$$

x uchun yechish

$$x=-\frac{4}{5}=-0,8$$

$$x = -\frac{16}{5} = -3\frac{1}{5} = -3,2$$

Kvadrat ildizini topish bo'yicha qadamlar

36 ni tenglamaning ikkala tarafiga qo'shish.

$$25\left(x+2\right)^{2}-36+36=36$$

O‘zidan 36 ayirilsa 0 qoladi.

$$25\left(x+2\right)^{2}=36$$

Ikki tarafini 25 ga bo‘ling.

$$\frac{25\left(x+2\right)^{2}}{25}=\frac{36}{25}$$

25 ga bo'lish 25 ga ko'paytirishni bekor qiladi.

$$\left(x+2\right)^{2}=\frac{36}{25}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+2=\frac{6}{5} x+2=-\frac{6}{5}$$

Tenglamaning ikkala tarafidan 2 ni ayirish.

$$x+2-2=\frac{6}{5}-2 x+2-2=-\frac{6}{5}-2$$

O‘zidan 2 ayirilsa 0 qoladi.

$$x=\frac{6}{5}-2 x=-\frac{6}{5}-2$$

\frac{6}{5} dan 2 ni ayirish.

$$x=-\frac{4}{5}$$

-\frac{6}{5} dan 2 ni ayirish.

$$x=-\frac{16}{5}$$

Tenglama yechildi.

$$x=-\frac{4}{5} x=-\frac{16}{5}$$