a{left(1+22/12right)}^4=a+14667 eching

$$a { \left(1+ \frac{ 22 }{ 12 } \right) }^{ 4 } = a+14667$$

a uchun yechish

$$a = \frac{19008432}{82225} = 231\frac{14457}{82225} \approx 231,175822438$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{22}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a\left(1+\frac{11}{6}\right)^{4}=a+14667$$

\frac{17}{6} olish uchun 1 va \frac{11}{6}'ni qo'shing.

$$a\times \left(\frac{17}{6}\right)^{4}=a+14667$$

4 daraja ko‘rsatkichini \frac{17}{6} ga hisoblang va \frac{83521}{1296} ni qiymatni oling.

$$a\times \frac{83521}{1296}=a+14667$$

Ikkala tarafdan a ni ayirish.

$$a\times \frac{83521}{1296}-a=14667$$

\frac{82225}{1296}a ni olish uchun a\times \frac{83521}{1296} va -a ni birlashtirish.

$$\frac{82225}{1296}a=14667$$

Ikki tarafini \frac{1296}{82225} va teskari kasri \frac{82225}{1296} ga ko‘paytiring.

$$a=14667\times \frac{1296}{82225}$$

\frac{19008432}{82225} hosil qilish uchun 14667 va \frac{1296}{82225} ni ko'paytirish.

$$a=\frac{19008432}{82225}$$