Lahenda w=w+5/512(sin14)

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

Lahendage ja leidke w

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

Juhised lineaarvõrrandi lahendamiseks

Evaluate trigonometric functions in the problem

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

Jagage w+5 iga liige 512-ga, et saada \frac{1}{512}w+\frac{5}{512}.

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

Kasutage distributiivsusomadust, et korrutada \frac{1}{512}w+\frac{5}{512} ja 0,24192189559966773.

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

Teisendage kümnendarv 0,24192189559966773 murdarvuks \frac{24192189559966773}{10000000000}. Taandage murd \frac{24192189559966773}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

Korrutage omavahel \frac{1}{512} ja \frac{24192189559966773}{100000000000000000}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{1\times 24192189559966773}{512\times 100000000000000000}.

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

Teisendage kümnendarv 0,24192189559966773 murdarvuks \frac{24192189559966773}{10000000000}. Taandage murd \frac{24192189559966773}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

Korrutage omavahel \frac{5}{512} ja \frac{24192189559966773}{100000000000000000}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{5\times 24192189559966773}{512\times 100000000000000000}.

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

Taandage murd \frac{120960947799833865}{51200000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 5.

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

Lahutage mõlemast poolest \frac{24192189559966773}{51200000000000000000}w.

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

Kombineerige w ja -\frac{24192189559966773}{51200000000000000000}w, et leida \frac{51175807810440033227}{51200000000000000000}w.

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

Korrutage mõlemad pooled \frac{51200000000000000000}{51175807810440033227}-ga, mis on \frac{51175807810440033227}{51200000000000000000} pöördväärtus.

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

Korrutage omavahel \frac{24192189559966773}{10240000000000000000} ja \frac{51200000000000000000}{51175807810440033227}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{24192189559966773\times 51200000000000000000}{10240000000000000000\times 51175807810440033227}.

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

Taandage murd \frac{1238640105470298777600000000000000000}{524040271978905940244480000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 10240000000000000000.

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