7-2/3sqrt{1-x}=3 eching

$$7 - \frac { 2 } { 3 } \sqrt { 1 - x } = 3$$

x uchun yechish

$$x=-35$$

Ildizli tenglamalarni yechish qadamlari

Tenglamaning ikkala tarafidan 7 ni ayirish.

$$-\frac{2}{3}\sqrt{-x+1}+7-7=3-7$$

O‘zidan 7 ayirilsa 0 qoladi.

$$-\frac{2}{3}\sqrt{-x+1}=3-7$$

3 dan 7 ni ayirish.

$$-\frac{2}{3}\sqrt{-x+1}=-4$$

Tenglamaning ikki tarafini -\frac{2}{3} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{-\frac{2}{3}\sqrt{-x+1}}{-\frac{2}{3}}=-\frac{4}{-\frac{2}{3}}$$

-\frac{2}{3} ga bo'lish -\frac{2}{3} ga ko'paytirishni bekor qiladi.

$$\sqrt{-x+1}=-\frac{4}{-\frac{2}{3}}$$

-4 ni -\frac{2}{3} ga bo'lish -4 ga k'paytirish -\frac{2}{3} ga qaytarish.

$$\sqrt{-x+1}=6$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$-x+1=36$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$-x+1-1=36-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$-x=36-1$$

36 dan 1 ni ayirish.

$$-x=35$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=\frac{35}{-1}$$

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

$$x=\frac{35}{-1}$$

35 ni -1 ga bo'lish.

$$x=-35$$