sqrt{47-3x/2}=4 eching

$$\sqrt { \frac { 47 - 3 x } { 2 } } = 4$$

x uchun yechish

$$x=5$$

Ildizli tenglamalarni yechish qadamlari

\frac{47}{2}-\frac{3}{2}x natijani olish uchun 47-3x ning har bir ifodasini 2 ga bo‘ling.

$$\sqrt{\frac{47}{2}-\frac{3}{2}x}=4$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$-\frac{3}{2}x+\frac{47}{2}=16$$

Tenglamaning ikkala tarafidan \frac{47}{2} ni ayirish.

$$-\frac{3}{2}x+\frac{47}{2}-\frac{47}{2}=16-\frac{47}{2}$$

O‘zidan \frac{47}{2} ayirilsa 0 qoladi.

$$-\frac{3}{2}x=16-\frac{47}{2}$$

16 dan \frac{47}{2} ni ayirish.

$$-\frac{3}{2}x=-\frac{15}{2}$$

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

$$\frac{-\frac{3}{2}x}{-\frac{3}{2}}=-\frac{\frac{15}{2}}{-\frac{3}{2}}$$

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

$$x=-\frac{\frac{15}{2}}{-\frac{3}{2}}$$

-\frac{15}{2} ni -\frac{3}{2} ga bo'lish -\frac{15}{2} ga k'paytirish -\frac{3}{2} ga qaytarish.

$$x=5$$