10^4*(4x+02)=10*(10sqrt{2})^2+400 eching

$$10 ^ { 4 } \cdot ( 4 x + 02 ) = 10 \cdot ( 10 \sqrt { 2 } ) ^ { 2 } + 400$$

x uchun yechish

$$x=\frac{3}{50}=0,06$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$10000\left(4x+0\times 2\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

0 hosil qilish uchun 0 va 2 ni ko'paytirish.

$$10000\left(4x+0\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$10000\times 4x=10\times \left(10\sqrt{2}\right)^{2}+400$$

40000 hosil qilish uchun 10000 va 4 ni ko'paytirish.

$$40000x=10\times \left(10\sqrt{2}\right)^{2}+400$$

\left(10\sqrt{2}\right)^{2} ni kengaytirish.

$$40000x=10\times 10^{2}\left(\sqrt{2}\right)^{2}+400$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$40000x=10\times 100\left(\sqrt{2}\right)^{2}+400$$

\sqrt{2} kvadrati – 2.

$$40000x=10\times 100\times 2+400$$

200 hosil qilish uchun 100 va 2 ni ko'paytirish.

$$40000x=10\times 200+400$$

2000 hosil qilish uchun 10 va 200 ni ko'paytirish.

$$40000x=2000+400$$

2400 olish uchun 2000 va 400'ni qo'shing.

$$40000x=2400$$

Ikki tarafini 40000 ga bo‘ling.

$$x=\frac{2400}{40000}$$

\frac{2400}{40000} ulushini 800 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{3}{50}$$