5(1029*12)(38*12)^4/384(29000)x=38*12/240 eching

$$\frac { 5 ( 1029 \times 12 ) ( 38 \times 12 ) ^ { 4 } } { 384 ( 29000 ) x } = \frac { 38 \times 12 } { 240 }$$

x uchun yechish

$$x = \frac{18294105312}{145} = 126166243\frac{77}{145} \approx 126166243,531034483$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 11136000x ga, 384\times 29000x,240 ning eng kichik karralisiga ko‘paytiring.

$$5\times 1029\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

5145 hosil qilish uchun 5 va 1029 ni ko'paytirish.

$$5145\times 12\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

61740 hosil qilish uchun 5145 va 12 ni ko'paytirish.

$$61740\times \left(38\times 12\right)^{4}=46400x\times 38\times 12$$

456 hosil qilish uchun 38 va 12 ni ko'paytirish.

$$61740\times 456^{4}=46400x\times 38\times 12$$

4 daraja ko‘rsatkichini 456 ga hisoblang va 43237380096 ni qiymatni oling.

$$61740\times 43237380096=46400x\times 38\times 12$$

2669475847127040 hosil qilish uchun 61740 va 43237380096 ni ko'paytirish.

$$2669475847127040=46400x\times 38\times 12$$

1763200 hosil qilish uchun 46400 va 38 ni ko'paytirish.

$$2669475847127040=1763200x\times 12$$

21158400 hosil qilish uchun 1763200 va 12 ni ko'paytirish.

$$2669475847127040=21158400x$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$21158400x=2669475847127040$$

Ikki tarafini 21158400 ga bo‘ling.

$$x=\frac{2669475847127040}{21158400}$$

\frac{2669475847127040}{21158400} ulushini 145920 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{18294105312}{145}$$