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

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

A uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{46}{100} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{\frac{23}{50}}{4} ni yagona kasrga aylantiring.

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

200 hosil qilish uchun 50 va 4 ni ko'paytirish.

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

\frac{223}{200} olish uchun 1 va \frac{23}{200}'ni qo'shing.

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

24 daraja ko‘rsatkichini \frac{223}{200} ga hisoblang va \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ni qiymatni oling.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} hosil qilish uchun 5000 va \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ni ko'paytirish.

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

\frac{45}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{29}{20} olish uchun 1 va \frac{9}{20}'ni qo'shing.

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

6 daraja ko‘rsatkichini \frac{29}{20} ga hisoblang va \frac{594823321}{64000000} ni qiymatni oling.

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

\frac{594823321}{12800} hosil qilish uchun 5000 va \frac{594823321}{64000000} ni ko'paytirish.

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

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} olish uchun \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} dan \frac{594823321}{12800} ni ayirish.

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

-6 hosil qilish uchun -1 va 6 ni ko'paytirish.

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

Ikkala tarafdan B\times 6 ni ayirish.

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

Tenglama standart shaklda.

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

Ikki tarafini -6 ga bo‘ling.

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

-6 ga bo'lish -6 ga ko'paytirishni bekor qiladi.

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

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B ni -6 ga bo'lish.

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

B uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{46}{100} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{\frac{23}{50}}{4} ni yagona kasrga aylantiring.

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

200 hosil qilish uchun 50 va 4 ni ko'paytirish.

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

\frac{223}{200} olish uchun 1 va \frac{23}{200}'ni qo'shing.

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

24 daraja ko‘rsatkichini \frac{223}{200} ga hisoblang va \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ni qiymatni oling.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} hosil qilish uchun 5000 va \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ni ko'paytirish.

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

\frac{45}{100} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{29}{20} olish uchun 1 va \frac{9}{20}'ni qo'shing.

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

6 daraja ko‘rsatkichini \frac{29}{20} ga hisoblang va \frac{594823321}{64000000} ni qiymatni oling.

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

\frac{594823321}{12800} hosil qilish uchun 5000 va \frac{594823321}{64000000} ni ko'paytirish.

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

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} olish uchun \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} dan \frac{594823321}{12800} ni ayirish.

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

A\times 6 ni ikki tarafga qo’shing.

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

Tenglama standart shaklda.

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

Ikki tarafini 6 ga bo‘ling.

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

6 ga bo'lish 6 ga ko'paytirishni bekor qiladi.

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

\frac{72797255816118311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A ni 6 ga bo'lish.

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