789*x=15x-left(53^2right)^5 eching

$$789 \times x=15x- { \left( { 53 }^{ 2 } \right) }^{ 5 }$$

x uchun yechish

$$x=-\frac{174887470365513049}{774}\approx -2,259528041 \cdot 10^{14}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 5 ni ko‘paytirib, 10 ni oling.

$$789x=15x-53^{10}$$

10 daraja ko‘rsatkichini 53 ga hisoblang va 174887470365513049 ni qiymatni oling.

$$789x=15x-174887470365513049$$

Ikkala tarafdan 15x ni ayirish.

$$789x-15x=-174887470365513049$$

774x ni olish uchun 789x va -15x ni birlashtirish.

$$774x=-174887470365513049$$

Ikki tarafini 774 ga bo‘ling.

$$x=\frac{-174887470365513049}{774}$$

\frac{-174887470365513049}{774} kasri manfiy belgini olib tashlash bilan -\frac{174887470365513049}{774} sifatida qayta yozilishi mumkin.

$$x=-\frac{174887470365513049}{774}$$