left(x+1right)^2=x^2+7^2 eching

$${ \left(x+1 \right) }^{ 2 } = { x }^{ 2 } + { 7 }^{ 2 }$$

x uchun yechish

$$x=24$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+1\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}+2x+1=x^{2}+7^{2}$$

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

$$x^{2}+2x+1=x^{2}+49$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+2x+1-x^{2}=49$$

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

$$2x+1=49$$

Ikkala tarafdan 1 ni ayirish.

$$2x=49-1$$

48 olish uchun 49 dan 1 ni ayirish.

$$2x=48$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{48}{2}$$

24 ni olish uchun 48 ni 2 ga bo‘ling.

$$x=24$$