575(1-x)^2=822 eching

$$575 ( 1 - x ) ^ { 2 } = 822$$

x uchun yechish

$$x=-\frac{\sqrt{18906}}{115}+1\approx -0,195644269$$

$$x=\frac{\sqrt{18906}}{115}+1\approx 2,195644269$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 575 ga bo‘ling.

$$\frac{575\left(-x+1\right)^{2}}{575}=\frac{822}{575}$$

575 ga bo'lish 575 ga ko'paytirishni bekor qiladi.

$$\left(-x+1\right)^{2}=\frac{822}{575}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$-x+1=\frac{\sqrt{18906}}{115} -x+1=-\frac{\sqrt{18906}}{115}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-x+1-1=\frac{\sqrt{18906}}{115}-1 -x+1-1=-\frac{\sqrt{18906}}{115}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$-x=\frac{\sqrt{18906}}{115}-1 -x=-\frac{\sqrt{18906}}{115}-1$$

\frac{\sqrt{18906}}{115} dan 1 ni ayirish.

$$-x=\frac{\sqrt{18906}}{115}-1$$

-\frac{\sqrt{18906}}{115} dan 1 ni ayirish.

$$-x=-\frac{\sqrt{18906}}{115}-1$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=\frac{\frac{\sqrt{18906}}{115}-1}{-1} \frac{-x}{-1}=\frac{-\frac{\sqrt{18906}}{115}-1}{-1}$$

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

$$x=\frac{\frac{\sqrt{18906}}{115}-1}{-1} x=\frac{-\frac{\sqrt{18906}}{115}-1}{-1}$$

\frac{\sqrt{18906}}{115}-1 ni -1 ga bo'lish.

$$x=-\frac{\sqrt{18906}}{115}+1$$

-\frac{\sqrt{18906}}{115}-1 ni -1 ga bo'lish.

$$x=\frac{\sqrt{18906}}{115}+1$$

Tenglama yechildi.

$$x=-\frac{\sqrt{18906}}{115}+1 x=\frac{\sqrt{18906}}{115}+1$$