B(6)-A(6)=5000(1+46%/4)^24-5000(1+45%)^6 Denklemini Çözme

$$B ( 6 ) - A ( 6 ) = 5000 ( 1 + \frac { 46 \% } { 4 } ) ^ { 24 } - 5000 ( 1 + 45 \% ) ^ { 6 }$$

A için çözün

$$A = -\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000} = -3615\frac{5,897602706102325 \times 10^{51}}{6,710886400000001 \times 10^{51}} = -3615,878811285809$$

Doğrusal Denklem Çözme Adımları

2 terimini kökün dışına çıkarıp yok ederek \frac{46}{100} kesrini sadeleştirin.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

\frac{\frac{23}{50}}{4} değerini tek bir kesir olarak ifade edin.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

50 ve 4 sayılarını çarparak 200 sonucunu bulun.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

1 ve \frac{23}{200} sayılarını toplayarak \frac{223}{200} sonucunu bulun.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

24 sayısının \frac{223}{200} kuvvetini hesaplayarak \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

5000 ve \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} sayılarını çarparak \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

5 terimini kökün dışına çıkarıp yok ederek \frac{45}{100} kesrini sadeleştirin.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{20}\right)^{6}$$

1 ve \frac{9}{20} sayılarını toplayarak \frac{29}{20} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{29}{20}\right)^{6}$$

6 sayısının \frac{29}{20} kuvvetini hesaplayarak \frac{594823321}{64000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{594823321}{64000000}$$

5000 ve \frac{594823321}{64000000} sayılarını çarparak \frac{594823321}{12800} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{594823321}{12800}$$

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sayısından \frac{594823321}{12800} sayısını çıkarıp \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

-1 ve 6 sayılarını çarparak -6 sonucunu bulun.

$$B\times 6-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Her iki taraftan B\times 6 sayısını çıkarın.

$$-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-B\times 6$$

Denklem standart biçimdedir.

$$-6A=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B$$

Her iki tarafı -6 ile bölün.

$$\frac{-6A}{-6}=\frac{\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

-6 ile bölme, -6 ile çarpma işlemini geri alır.

$$A=\frac{\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B sayısını -6 ile bölün.

$$A=B-\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$

B için çözün

$$B = \frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000} = 3615\frac{5,897602706102325 \times 10^{51}}{6,710886400000001 \times 10^{51}} = 3615,878811285809$$

Doğrusal Denklem Çözme Adımları

2 terimini kökün dışına çıkarıp yok ederek \frac{46}{100} kesrini sadeleştirin.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

\frac{\frac{23}{50}}{4} değerini tek bir kesir olarak ifade edin.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

50 ve 4 sayılarını çarparak 200 sonucunu bulun.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

1 ve \frac{23}{200} sayılarını toplayarak \frac{223}{200} sonucunu bulun.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{45}{100}\right)^{6}$$

24 sayısının \frac{223}{200} kuvvetini hesaplayarak \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

5000 ve \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} sayılarını çarparak \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{100}\right)^{6}$$

5 terimini kökün dışına çıkarıp yok ederek \frac{45}{100} kesrini sadeleştirin.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{20}\right)^{6}$$

1 ve \frac{9}{20} sayılarını toplayarak \frac{29}{20} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{29}{20}\right)^{6}$$

6 sayısının \frac{29}{20} kuvvetini hesaplayarak \frac{594823321}{64000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{594823321}{64000000}$$

5000 ve \frac{594823321}{64000000} sayılarını çarparak \frac{594823321}{12800} sonucunu bulun.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{594823321}{12800}$$

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sayısından \frac{594823321}{12800} sayısını çıkarıp \frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} sonucunu bulun.

$$B\times 6-A\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Her iki tarafa A\times 6 ekleyin.

$$B\times 6=\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+A\times 6$$

Denklem standart biçimdedir.

$$6B=6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Her iki tarafı 6 ile bölün.

$$\frac{6B}{6}=\frac{6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

6 ile bölme, 6 ile çarpma işlemini geri alır.

$$B=\frac{6A+\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A sayısını 6 ile bölün.

$$B=A+\frac{24265751938706103774328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$