4(8x-1)^2=49 eching

$$4 ( 8 x - 1 ) ^ { 2 } = 49$$

x uchun yechish

$$x=\frac{9}{16}=0,5625$$

$$x=-\frac{5}{16}=-0,3125$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 4 ga bo‘ling.

$$\frac{4\left(8x-1\right)^{2}}{4}=\frac{49}{4}$$

4 ga bo'lish 4 ga ko'paytirishni bekor qiladi.

$$\left(8x-1\right)^{2}=\frac{49}{4}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$8x-1=\frac{7}{2} 8x-1=-\frac{7}{2}$$

1 ni tenglamaning ikkala tarafiga qo'shish.

$$8x-1-\left(-1\right)=\frac{7}{2}-\left(-1\right) 8x-1-\left(-1\right)=-\frac{7}{2}-\left(-1\right)$$

O‘zidan -1 ayirilsa 0 qoladi.

$$8x=\frac{7}{2}-\left(-1\right) 8x=-\frac{7}{2}-\left(-1\right)$$

\frac{7}{2} dan -1 ni ayirish.

$$8x=\frac{9}{2}$$

-\frac{7}{2} dan -1 ni ayirish.

$$8x=-\frac{5}{2}$$

Ikki tarafini 8 ga bo‘ling.

$$\frac{8x}{8}=\frac{\frac{9}{2}}{8} \frac{8x}{8}=-\frac{\frac{5}{2}}{8}$$

8 ga bo'lish 8 ga ko'paytirishni bekor qiladi.

$$x=\frac{\frac{9}{2}}{8} x=-\frac{\frac{5}{2}}{8}$$

\frac{9}{2} ni 8 ga bo'lish.

$$x=\frac{9}{16}$$

-\frac{5}{2} ni 8 ga bo'lish.

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

Tenglama yechildi.

$$x=\frac{9}{16} x=-\frac{5}{16}$$