(3i-1)(1/3+i/2) eching

$$( 3 i - 1 ) ( \frac { 1 } { 3 } + \frac { i } { 2 } )$$

Baholash

$$-\frac{11}{6}+\frac{1}{2}i\approx -1,833333333+0,5i$$

Yechim qadamlari

\frac{1}{2}i ni olish uchun i ni 2 ga bo‘ling.

$$\left(3i-1\right)\left(\frac{1}{3}+\frac{1}{2}i\right)$$

3i-1 ga \frac{1}{3}+\frac{1}{2}i ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{3}{2}+i+\left(-\frac{1}{3}-\frac{1}{2}i\right)$$

-\frac{3}{2}+i va -\frac{1}{3}-\frac{1}{2}i sonlari ichida real va mavhum qismlarni birlashtiring.

$$-\frac{3}{2}-\frac{1}{3}+\left(1-\frac{1}{2}\right)i$$

-\frac{3}{2} ni -\frac{1}{3} ga qo'shish. 1 ni -\frac{1}{2} ga qo'shish.

$$-\frac{11}{6}+\frac{1}{2}i$$

Ashyoviy qism

$$-\frac{11}{6} = -1\frac{5}{6} = -1,8333333333333333$$

Yechim qadamlari

\frac{1}{2}i ni olish uchun i ni 2 ga bo‘ling.

$$Re(\left(3i-1\right)\left(\frac{1}{3}+\frac{1}{2}i\right))$$

3i-1 ga \frac{1}{3}+\frac{1}{2}i ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$Re(-\frac{3}{2}+i+\left(-\frac{1}{3}-\frac{1}{2}i\right))$$

-\frac{3}{2}+i va -\frac{1}{3}-\frac{1}{2}i sonlari ichida real va mavhum qismlarni birlashtiring.

$$Re(-\frac{3}{2}-\frac{1}{3}+\left(1-\frac{1}{2}\right)i)$$

-\frac{3}{2} ni -\frac{1}{3} ga qo'shish. 1 ni -\frac{1}{2} ga qo'shish.

$$Re(-\frac{11}{6}+\frac{1}{2}i)$$

-\frac{11}{6}+\frac{1}{2}i ning real qismi – -\frac{11}{6}.

$$-\frac{11}{6}$$