(2-x)^2-x(x+3/2)=4 eching

$$( 2 - x ) ^ { 2 } - x ( x + \frac { 3 } { 2 } ) = 4$$

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$4-4x+x^{2}-x\left(x+\frac{3}{2}\right)=4$$

x ga x+\frac{3}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4-4x+x^{2}-\left(x^{2}+\frac{3}{2}x\right)=4$$

x^{2}+\frac{3}{2}x teskarisini topish uchun har birining teskarisini toping.

$$4-4x+x^{2}-x^{2}-\frac{3}{2}x=4$$

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

$$4-4x-\frac{3}{2}x=4$$

-\frac{11}{2}x ni olish uchun -4x va -\frac{3}{2}x ni birlashtirish.

$$4-\frac{11}{2}x=4$$

Ikkala tarafdan 4 ni ayirish.

$$-\frac{11}{2}x=4-4$$

0 olish uchun 4 dan 4 ni ayirish.

$$-\frac{11}{2}x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. -\frac{11}{2} 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$