7^{2}+3x=(24^4:12^4*2^-2:2*2^0)x eching

$$7 ^ { 2 } + 3 x = ( 24 ^ { 4 } : 12 ^ { 4 } \cdot 2 ^ { - 2 } : 2 \cdot 2 ^ { 0 } ) x$$

x uchun yechish

$$x=-49$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$2\times 7^{2}+6x=\frac{24^{4}}{12^{4}}\times 2^{-2}\times 2^{0}x$$

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$2\times 49+6x=\frac{24^{4}}{12^{4}}\times 2^{-2}\times 2^{0}x$$

98 hosil qilish uchun 2 va 49 ni ko'paytirish.

$$98+6x=\frac{24^{4}}{12^{4}}\times 2^{-2}\times 2^{0}x$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 0 ni qo‘shib, -2 ni oling.

$$98+6x=\frac{24^{4}}{12^{4}}\times 2^{-2}x$$

4 daraja ko‘rsatkichini 24 ga hisoblang va 331776 ni qiymatni oling.

$$98+6x=\frac{331776}{12^{4}}\times 2^{-2}x$$

4 daraja ko‘rsatkichini 12 ga hisoblang va 20736 ni qiymatni oling.

$$98+6x=\frac{331776}{20736}\times 2^{-2}x$$

16 ni olish uchun 331776 ni 20736 ga bo‘ling.

$$98+6x=16\times 2^{-2}x$$

-2 daraja ko‘rsatkichini 2 ga hisoblang va \frac{1}{4} ni qiymatni oling.

$$98+6x=16\times \frac{1}{4}x$$

4 hosil qilish uchun 16 va \frac{1}{4} ni ko'paytirish.

$$98+6x=4x$$

Ikkala tarafdan 4x ni ayirish.

$$98+6x-4x=0$$

2x ni olish uchun 6x va -4x ni birlashtirish.

$$98+2x=0$$

Ikkala tarafdan 98 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$2x=-98$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{-98}{2}$$

-49 ni olish uchun -98 ni 2 ga bo‘ling.

$$x=-49$$