2837=x/106+x/106^2+x/106^3+x/1064 eching

$$2837 = \frac { x } { 106 } + \frac { x } { 106 ^ { 2 } } + \frac { x } { 106 ^ { 3 } } + \frac { x } { 1064 }$$

x uchun yechish

$$x = \frac{56174418517}{207187} = 271129\frac{14394}{207187} \approx 271129,069473471$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 56392 ga, 106,1064 ning eng kichik karralisiga ko‘paytiring.

$$159984104=532x+\frac{266}{53}x+\frac{133}{2809}x+53x$$

\frac{28462}{53}x ni olish uchun 532x va \frac{266}{53}x ni birlashtirish.

$$159984104=\frac{28462}{53}x+\frac{133}{2809}x+53x$$

\frac{1508619}{2809}x ni olish uchun \frac{28462}{53}x va \frac{133}{2809}x ni birlashtirish.

$$159984104=\frac{1508619}{2809}x+53x$$

\frac{1657496}{2809}x ni olish uchun \frac{1508619}{2809}x va 53x ni birlashtirish.

$$159984104=\frac{1657496}{2809}x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{1657496}{2809}x=159984104$$

Ikki tarafini \frac{2809}{1657496} va teskari kasri \frac{1657496}{2809} ga ko‘paytiring.

$$x=159984104\times \frac{2809}{1657496}$$

159984104\times \frac{2809}{1657496} ni yagona kasrga aylantiring.

$$x=\frac{159984104\times 2809}{1657496}$$

449395348136 hosil qilish uchun 159984104 va 2809 ni ko'paytirish.

$$x=\frac{449395348136}{1657496}$$

\frac{449395348136}{1657496} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{56174418517}{207187}$$