x^2-(x-1)^2=25 eching

$$x ^ { 2 } - ( x - 1 ) ^ { 2 } = 25$$

x uchun yechish

$$x=13$$

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.

$$x^{2}-\left(x^{2}-2x+1\right)=25$$

x^{2}-2x+1 teskarisini topish uchun har birining teskarisini toping.

$$x^{2}-x^{2}+2x-1=25$$

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

$$2x-1=25$$

1 ni ikki tarafga qo’shing.

$$2x=25+1$$

26 olish uchun 25 va 1'ni qo'shing.

$$2x=26$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{26}{2}$$

13 ni olish uchun 26 ni 2 ga bo‘ling.

$$x=13$$