(2pi/365-2pi/687)T=2pi eching

$$( \frac { 2 \pi } { 365 } - \frac { 2 \pi } { 687 } ) T = 2 \pi$$

T uchun yechish

$$T = \frac{250755}{322} = 778\frac{239}{322} \approx 778,742236025$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 250755 ga, 365,687 ning eng kichik karralisiga ko‘paytiring.

$$250755\left(\frac{2\pi }{365}-\frac{2\pi }{687}\right)T=501510\pi$$

\frac{322}{250755}\times 2\pi ni olish uchun \frac{2\pi }{365} va -\frac{2\pi }{687} ni birlashtirish.

$$250755\times \frac{322}{250755}\times 2\pi T=501510\pi$$

\frac{322}{250755}\times 2 ni yagona kasrga aylantiring.

$$250755\times \frac{322\times 2}{250755}\pi T=501510\pi$$

644 hosil qilish uchun 322 va 2 ni ko'paytirish.

$$250755\times \frac{644}{250755}\pi T=501510\pi$$

250755 va 250755 ni qisqartiring.

$$644\pi T=501510\pi$$

\pi ni ikki tarafidan bekor qilish.

$$644T=501510$$

Ikki tarafini 644 ga bo‘ling.

$$T=\frac{501510}{644}$$

\frac{501510}{644} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$T=\frac{250755}{322}$$