(z+i)(z-3i)=z(z-i) eching

$$( z + i ) ( z - 3 i ) = z ( z - i )$$

z uchun yechish

$$z=-3i$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z+i ga z-3i ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$z^{2}-2iz+3=z\left(z-i\right)$$

z ga z-i ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$z^{2}-2iz+3=z^{2}-iz$$

Ikkala tarafdan z^{2} ni ayirish.

$$z^{2}-2iz+3-z^{2}=-iz$$

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

$$-2iz+3=-iz$$

Ikkala tarafdan -iz ni ayirish.

$$-2iz+3-\left(-iz\right)=0$$

-iz ni olish uchun -2iz va iz ni birlashtirish.

$$-iz+3=0$$

Ikkala tarafdan 3 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-iz=-3$$

Ikki tarafini -i ga bo‘ling.

$$z=\frac{-3}{-i}$$

\frac{-3}{-i}ning surat va maxrajini xayolik birlik i bilan ko‘paytiring.

$$z=\frac{-3i}{1}$$

-3i ni olish uchun -3i ni 1 ga bo‘ling.

$$z=-3i$$