(x-1)(x+6)-(x-2)(x-3)=3 eching

$$( x - 1 ) ( x + 6 ) - ( x - 2 ) ( x - 3 ) = 3$$

x uchun yechish

$$x = \frac{3}{2} = 1\frac{1}{2} = 1,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x-1 ga x+6 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+5x-6-\left(x-2\right)\left(x-3\right)=3$$

x-2 ga x-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$x^{2}+5x-6-\left(x^{2}-5x+6\right)=3$$

x^{2}-5x+6 teskarisini topish uchun har birining teskarisini toping.

$$x^{2}+5x-6-x^{2}+5x-6=3$$

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

$$5x-6+5x-6=3$$

10x ni olish uchun 5x va 5x ni birlashtirish.

$$10x-6-6=3$$

-12 olish uchun -6 dan 6 ni ayirish.

$$10x-12=3$$

12 ni ikki tarafga qo’shing.

$$10x=3+12$$

15 olish uchun 3 va 12'ni qo'shing.

$$10x=15$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{15}{10}$$

\frac{15}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{3}{2}$$