36+(18-x)^2=x^2 eching

$$36 + ( 18 - x ) ^ { 2 } = x ^ { 2 }$$

x uchun yechish

$$x=10$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(18-x\right)^{2} kengaytirilishi uchun ishlating.

$$36+324-36x+x^{2}=x^{2}$$

360 olish uchun 36 va 324'ni qo'shing.

$$360-36x+x^{2}=x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$360-36x+x^{2}-x^{2}=0$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$360-36x=0$$

Ikkala tarafdan 360 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-36x=-360$$

Ikki tarafini -36 ga bo‘ling.

$$x=\frac{-360}{-36}$$

10 ni olish uchun -360 ni -36 ga bo‘ling.

$$x=10$$