3/4(2-5i)+1/2(3+1/2i)? eching

$$\frac { 3 } { 4 } ( 2 - 5 i ) + \frac { 1 } { 2 } ( 3 + \frac { 1 } { 2 } i ) ?$$

Baholash

$$3-\frac{7}{2}i=3-3,5i$$

Yechim qadamlari

\frac{3}{4} ni 2-5i marotabaga ko'paytirish.

$$\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right)+\frac{1}{2}\left(3+\frac{1}{2}i\right)$$

\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\left(3+\frac{1}{2}i\right)$$

\frac{1}{2} ni 3+\frac{1}{2}i marotabaga ko'paytirish.

$$\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right)$$

\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3}{2}-\frac{15}{4}i+\left(\frac{3}{2}+\frac{1}{4}i\right)$$

Real va mavhum qismlarni birlashtiring.

$$\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i$$

Qo‘shishlarni bajaring.

$$3-\frac{7}{2}i$$

Ashyoviy qism

$$3$$

Yechim qadamlari

\frac{3}{4} ni 2-5i marotabaga ko'paytirish.

$$Re(\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right)+\frac{1}{2}\left(3+\frac{1}{2}i\right))$$

\frac{3}{4}\times 2+\frac{3}{4}\times \left(-5i\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\left(3+\frac{1}{2}i\right))$$

\frac{1}{2} ni 3+\frac{1}{2}i marotabaga ko'paytirish.

$$Re(\frac{3}{2}-\frac{15}{4}i+\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right))$$

\frac{1}{2}\times 3+\frac{1}{2}\times \left(\frac{1}{2}i\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{3}{2}-\frac{15}{4}i+\left(\frac{3}{2}+\frac{1}{4}i\right))$$

\frac{3}{2}-\frac{15}{4}i+\frac{3}{2}+\frac{1}{4}i ichida real va mavhum qismlarni birlashtiring.

$$Re(\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i)$$

\frac{3}{2}+\frac{3}{2}+\left(-\frac{15}{4}+\frac{1}{4}\right)i ichida qo‘shishlarni bajaring.

$$Re(3-\frac{7}{2}i)$$

3-\frac{7}{2}i ning real qismi – 3.

$$3$$