20000=10000*1015^8+x*1015^3 eching

$$20000 = 10000 \cdot 1015 ^ { 8 } + x \cdot 1015 ^ { 3 }$$

x uchun yechish

$$x=-\frac{90119406927624555031249840}{8365427}\approx -1,077284004 \cdot 10^{19}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

8 daraja ko‘rsatkichini 1015 ga hisoblang va 1126492586595306937890625 ni qiymatni oling.

$$20000=10000\times 1126492586595306937890625+x\times 1015^{3}$$

11264925865953069378906250000 hosil qilish uchun 10000 va 1126492586595306937890625 ni ko'paytirish.

$$20000=11264925865953069378906250000+x\times 1015^{3}$$

3 daraja ko‘rsatkichini 1015 ga hisoblang va 1045678375 ni qiymatni oling.

$$20000=11264925865953069378906250000+x\times 1045678375$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$11264925865953069378906250000+x\times 1045678375=20000$$

Ikkala tarafdan 11264925865953069378906250000 ni ayirish.

$$x\times 1045678375=20000-11264925865953069378906250000$$

-11264925865953069378906230000 olish uchun 20000 dan 11264925865953069378906250000 ni ayirish.

$$x\times 1045678375=-11264925865953069378906230000$$

Ikki tarafini 1045678375 ga bo‘ling.

$$x=\frac{-11264925865953069378906230000}{1045678375}$$

\frac{-11264925865953069378906230000}{1045678375} ulushini 125 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{90119406927624555031249840}{8365427}$$