(x-1)^2-(x-1)^2<-2/3 eching

$$( x - 1 ) ^ { 2 } - ( x - 1 ) ^ { 2 } < - \frac { 2 } { 3 }$$

Baholash (complex solution)

Yechim qadamlari

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}-2x+1-\left(x-1\right)^{2}<-\frac{2}{3}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(x-1\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}-2x+1-\left(x^{2}-2x+1\right)<-\frac{2}{3}$$

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

$$x^{2}-2x+1-x^{2}+2x-1<-\frac{2}{3}$$

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

$$-2x+1+2x-1<-\frac{2}{3}$$

0 ni olish uchun -2x va 2x ni birlashtirish.

$$1-1<-\frac{2}{3}$$

0 olish uchun 1 dan 1 ni ayirish.

$$0<-\frac{2}{3}$$

0 va -\frac{2}{3} ni taqqoslang.

$$\text{false}$$