left(1-xright)^296=54 eching

$${ \left(1-x \right) }^{ 2 } 96=54$$

x uchun yechish

$$x=\frac{1}{4}=0,25$$

$$x = \frac{7}{4} = 1\frac{3}{4} = 1,75$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 96 ga bo‘ling.

$$\frac{96\left(-x+1\right)^{2}}{96}=\frac{54}{96}$$

96 ga bo'lish 96 ga ko'paytirishni bekor qiladi.

$$\left(-x+1\right)^{2}=\frac{54}{96}$$

\frac{54}{96} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(-x+1\right)^{2}=\frac{9}{16}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$-x+1=\frac{3}{4} -x+1=-\frac{3}{4}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-x+1-1=\frac{3}{4}-1 -x+1-1=-\frac{3}{4}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$-x=\frac{3}{4}-1 -x=-\frac{3}{4}-1$$

\frac{3}{4} dan 1 ni ayirish.

$$-x=-\frac{1}{4}$$

-\frac{3}{4} dan 1 ni ayirish.

$$-x=-\frac{7}{4}$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=-\frac{\frac{1}{4}}{-1} \frac{-x}{-1}=-\frac{\frac{7}{4}}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$x=-\frac{\frac{1}{4}}{-1} x=-\frac{\frac{7}{4}}{-1}$$

-\frac{1}{4} ni -1 ga bo'lish.

$$x=\frac{1}{4}$$

-\frac{7}{4} ni -1 ga bo'lish.

$$x=\frac{7}{4}$$

Tenglama yechildi.

$$x=\frac{1}{4} x=\frac{7}{4}$$