1/2*910^2=667*10^-11*598*10^24/r eching

$$\frac { 1 } { 2 } \times 910 ^ { 2 } = 667 \times 10 ^ { - 11 } \times \frac { 598 \times 10 ^ { 24 } } { r }$$

r uchun yechish

$$r=\frac{6136400000000000}{637}\approx 9,633281005 \cdot 10^{12}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

r qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2r ga, 2,r ning eng kichik karralisiga ko‘paytiring.

$$\frac{1}{2}\times 910^{2}\times 2r=667\times 10^{-11}\times 2\times 598\times 10^{24}$$

2 daraja ko‘rsatkichini 910 ga hisoblang va 828100 ni qiymatni oling.

$$\frac{1}{2}\times 828100\times 2r=667\times 10^{-11}\times 2\times 598\times 10^{24}$$

414050 hosil qilish uchun \frac{1}{2} va 828100 ni ko'paytirish.

$$414050\times 2r=667\times 10^{-11}\times 2\times 598\times 10^{24}$$

828100 hosil qilish uchun 414050 va 2 ni ko'paytirish.

$$828100r=667\times 10^{-11}\times 2\times 598\times 10^{24}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -11 va 24 ni qo‘shib, 13 ni oling.

$$828100r=667\times 10^{13}\times 2\times 598$$

13 daraja ko‘rsatkichini 10 ga hisoblang va 10000000000000 ni qiymatni oling.

$$828100r=667\times 10000000000000\times 2\times 598$$

6670000000000000 hosil qilish uchun 667 va 10000000000000 ni ko'paytirish.

$$828100r=6670000000000000\times 2\times 598$$

13340000000000000 hosil qilish uchun 6670000000000000 va 2 ni ko'paytirish.

$$828100r=13340000000000000\times 598$$

7977320000000000000 hosil qilish uchun 13340000000000000 va 598 ni ko'paytirish.

$$828100r=7977320000000000000$$

Ikki tarafini 828100 ga bo‘ling.

$$r=\frac{7977320000000000000}{828100}$$

\frac{7977320000000000000}{828100} ulushini 1300 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$r=\frac{6136400000000000}{637}$$