9*{left(x+1/3right)}^2=4 eching

$$9 \times { \left(x+ \frac{ 1 }{ 3 } \right) }^{ 2 } =4$$

x uchun yechish

$$x=\frac{1}{3}\approx 0,333333333$$

$$x=-1$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 9 ga bo‘ling.

$$\frac{9\left(x+\frac{1}{3}\right)^{2}}{9}=\frac{4}{9}$$

9 ga bo'lish 9 ga ko'paytirishni bekor qiladi.

$$\left(x+\frac{1}{3}\right)^{2}=\frac{4}{9}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x+\frac{1}{3}=\frac{2}{3} x+\frac{1}{3}=-\frac{2}{3}$$

Tenglamaning ikkala tarafidan \frac{1}{3} ni ayirish.

$$x+\frac{1}{3}-\frac{1}{3}=\frac{2}{3}-\frac{1}{3} x+\frac{1}{3}-\frac{1}{3}=-\frac{2}{3}-\frac{1}{3}$$

O‘zidan \frac{1}{3} ayirilsa 0 qoladi.

$$x=\frac{2}{3}-\frac{1}{3} x=-\frac{2}{3}-\frac{1}{3}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{3} ni \frac{2}{3} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$x=\frac{1}{3}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{3} ni -\frac{2}{3} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$x=-1$$

Tenglama yechildi.

$$x=\frac{1}{3} x=-1$$