xdiv(7/3*21/2-21)=sqrt{(5/3}+4/3-frac{2}{6} eching

$$x \div ( \frac{ 7 }{ 3 } \times \frac{ 21 }{ 2 } -21)= \sqrt{ ( \frac{ 5 }{ 3 } } + \frac{ 4 }{ 3 } - \frac{ 2 }{ 6 }$$

x uchun yechish

$$x = \frac{7 \sqrt{6}}{3} \approx 5,715476066$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$\frac{2}{7}x=\sqrt{\frac{8}{3}}$$

Tenglamaning ikki tarafini \frac{2}{7} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

\frac{2}{7} ga bo'lish \frac{2}{7} ga ko'paytirishni bekor qiladi.

$$x=\frac{2\sqrt{6}}{\frac{2}{7}\times 3}$$

\frac{2\sqrt{6}}{3} ni \frac{2}{7} ga bo'lish \frac{2\sqrt{6}}{3} ga k'paytirish \frac{2}{7} ga qaytarish.

$$x=\frac{7\sqrt{6}}{3}$$