15*10^5+05*10^3*5^2+10^5=x+05*{10}^3*{25}^2 eching

$$15 \times { 10 }^{ 5 } +05 \times { 10 }^{ 3 } \times { 5 }^{ 2 } + { 10 }^{ 5 } =x+05 \times { 10 }^{ 3 } \times { 25 }^{ 2 }$$

x uchun yechish

$$x=1600000$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$15\times 10^{5}+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

5 daraja ko‘rsatkichini 10 ga hisoblang va 100000 ni qiymatni oling.

$$15\times 100000+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

1500000 hosil qilish uchun 15 va 100000 ni ko'paytirish.

$$1500000+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$1500000+0\times 125\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

0 hosil qilish uchun 0 va 125 ni ko'paytirish.

$$1500000+0\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$1500000+0\times 1000+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

0 hosil qilish uchun 0 va 1000 ni ko'paytirish.

$$1500000+0+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

1500000 olish uchun 1500000 va 0'ni qo'shing.

$$1500000+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

5 daraja ko‘rsatkichini 10 ga hisoblang va 100000 ni qiymatni oling.

$$1500000+100000=x+0\times 5\times 10^{3}\times 25^{2}$$

1600000 olish uchun 1500000 va 100000'ni qo'shing.

$$1600000=x+0\times 5\times 10^{3}\times 25^{2}$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$1600000=x+0\times 10^{3}\times 25^{2}$$

3 daraja ko‘rsatkichini 10 ga hisoblang va 1000 ni qiymatni oling.

$$1600000=x+0\times 1000\times 25^{2}$$

0 hosil qilish uchun 0 va 1000 ni ko'paytirish.

$$1600000=x+0\times 25^{2}$$

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$1600000=x+0\times 625$$

0 hosil qilish uchun 0 va 625 ni ko'paytirish.

$$1600000=x+0$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$1600000=x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x=1600000$$