x(x+2)-(x+3)(x-3)=13 eching

$$x ( x + 2 ) - ( x + 3 ) ( x - 3 ) = 13$$

x uchun yechish

$$x=2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x^{2}+2x-\left(x+3\right)\left(x-3\right)=13$$

Hisoblang: \left(x+3\right)\left(x-3\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 3 kvadratini chiqarish.

$$x^{2}+2x-\left(x^{2}-9\right)=13$$

x^{2}-9 teskarisini topish uchun har birining teskarisini toping.

$$x^{2}+2x-x^{2}+9=13$$

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

$$2x+9=13$$

Ikkala tarafdan 9 ni ayirish.

$$2x=13-9$$

4 olish uchun 13 dan 9 ni ayirish.

$$2x=4$$

Ikki tarafini 2 ga bo‘ling.

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

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$x=2$$