x+89*10^9/(365*75)^2=3354*10^15 eching

$$\frac { x + 89 \times 10 ^ { 9 } } { ( 365 \times 75 ) ^ { 2 } } = 3354 \times 10 ^ { 15 }$$

x uchun yechish

$$x=2513456156249999911000000000$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

9 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000 ni qiymatni oling.

$$\frac{x+89\times 1000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

89000000000 hosil qilish uchun 89 va 1000000000 ni ko'paytirish.

$$\frac{x+89000000000}{\left(365\times 75\right)^{2}}=3354\times 10^{15}$$

27375 hosil qilish uchun 365 va 75 ni ko'paytirish.

$$\frac{x+89000000000}{27375^{2}}=3354\times 10^{15}$$

2 daraja ko‘rsatkichini 27375 ga hisoblang va 749390625 ni qiymatni oling.

$$\frac{x+89000000000}{749390625}=3354\times 10^{15}$$

15 daraja ko‘rsatkichini 10 ga hisoblang va 1000000000000000 ni qiymatni oling.

$$\frac{x+89000000000}{749390625}=3354\times 1000000000000000$$

3354000000000000000 hosil qilish uchun 3354 va 1000000000000000 ni ko'paytirish.

$$\frac{x+89000000000}{749390625}=3354000000000000000$$

\frac{1}{749390625}x+\frac{5696000}{47961} natijani olish uchun x+89000000000 ning har bir ifodasini 749390625 ga bo‘ling.

$$\frac{1}{749390625}x+\frac{5696000}{47961}=3354000000000000000$$

Ikkala tarafdan \frac{5696000}{47961} ni ayirish.

$$\frac{1}{749390625}x=3354000000000000000-\frac{5696000}{47961}$$

\frac{160861193999999994304000}{47961} olish uchun 3354000000000000000 dan \frac{5696000}{47961} ni ayirish.

$$\frac{1}{749390625}x=\frac{160861193999999994304000}{47961}$$

Ikki tarafini 749390625 va teskari kasri \frac{1}{749390625} ga ko‘paytiring.

$$x=\frac{160861193999999994304000}{47961}\times 749390625$$

2513456156249999911000000000 hosil qilish uchun \frac{160861193999999994304000}{47961} va 749390625 ni ko'paytirish.

$$x=2513456156249999911000000000$$