w=w+5/512(sin14) eching

$$w = \frac { w + 5 } { 512 } ( \sin 14 )$$

w uchun yechish

$$w=\frac{120960947799833865}{51175807810440033227}\approx 0,002363635$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$w = \frac{w + 5}{512} 0,24192189559966773$$

\frac{1}{512}w+\frac{5}{512} natijani olish uchun w+5 ning har bir ifodasini 512 ga bo‘ling.

$$w=\left(\frac{1}{512}w+\frac{5}{512}\right)\times 0,24192189559966773$$

\frac{1}{512}w+\frac{5}{512} ga 0,24192189559966773 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$w=\frac{1}{512}w\times 0,24192189559966773+\frac{5}{512}\times 0,24192189559966773$$

0,24192189559966773 o‘nlik raqamni uning \frac{24192189559966773}{10000000000} kasrga o‘giring. \frac{24192189559966773}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$w=\frac{1}{512}w\times \frac{24192189559966773}{100000000000000000}+\frac{5}{512}\times 0,24192189559966773$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{512} ni \frac{24192189559966773}{100000000000000000} ga ko‘paytiring.

$$w=\frac{1\times 24192189559966773}{512\times 100000000000000000}w+\frac{5}{512}\times 0,24192189559966773$$

\frac{1\times 24192189559966773}{512\times 100000000000000000} kasridagi ko‘paytirishlarni bajaring.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5}{512}\times 0,24192189559966773$$

0,24192189559966773 o‘nlik raqamni uning \frac{24192189559966773}{10000000000} kasrga o‘giring. \frac{24192189559966773}{10000000000} ulushini 1 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5}{512}\times \frac{24192189559966773}{100000000000000000}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{512} ni \frac{24192189559966773}{100000000000000000} ga ko‘paytiring.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{5\times 24192189559966773}{512\times 100000000000000000}$$

\frac{5\times 24192189559966773}{512\times 100000000000000000} kasridagi ko‘paytirishlarni bajaring.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{120960947799833865}{51200000000000000000}$$

\frac{120960947799833865}{51200000000000000000} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$w=\frac{24192189559966773}{51200000000000000000}w+\frac{24192189559966773}{10240000000000000000}$$

Ikkala tarafdan \frac{24192189559966773}{51200000000000000000}w ni ayirish.

$$w-\frac{24192189559966773}{51200000000000000000}w=\frac{24192189559966773}{10240000000000000000}$$

\frac{51175807810440033227}{51200000000000000000}w ni olish uchun w va -\frac{24192189559966773}{51200000000000000000}w ni birlashtirish.

$$\frac{51175807810440033227}{51200000000000000000}w=\frac{24192189559966773}{10240000000000000000}$$

Ikki tarafini \frac{51200000000000000000}{51175807810440033227} va teskari kasri \frac{51175807810440033227}{51200000000000000000} ga ko‘paytiring.

$$w=\frac{24192189559966773}{10240000000000000000}\times \frac{51200000000000000000}{51175807810440033227}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{24192189559966773}{10240000000000000000} ni \frac{51200000000000000000}{51175807810440033227} ga ko‘paytiring.

$$w=\frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}$$

\frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227} kasridagi ko‘paytirishlarni bajaring.

$$w=\frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000}$$

\frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000} ulushini 10240000000000000000 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$w=\frac{120960947799833865}{51175807810440033227}$$