(x+1)^2=x^2-3 eching

$$( x + 1 ) ^ { 2 } = x ^ { 2 } - 3$$

x uchun yechish

$$x=-2$$

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.

$$x^{2}+2x+1=x^{2}-3$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+2x+1-x^{2}=-3$$

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

$$2x+1=-3$$

Ikkala tarafdan 1 ni ayirish.

$$2x=-3-1$$

-4 olish uchun -3 dan 1 ni ayirish.

$$2x=-4$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{-4}{2}$$

-2 ni olish uchun -4 ni 2 ga bo‘ling.

$$x=-2$$