5/2-i+ki eching

$$\frac { 5 } { 2 - i } + k i$$

Baholash

$$ik+\left(2+i\right)$$

Yechim qadamlari

\frac{5}{2-i}ning surat va maxrajini murakkab tutash maxraj 2+i bilan ko‘paytiring.

$$\frac{5\left(2+i\right)}{\left(2-i\right)\left(2+i\right)}+ki$$

Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{5\left(2+i\right)}{2^{2}-i^{2}}+ki$$

Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.

$$\frac{5\left(2+i\right)}{5}+ki$$

5 ni 2+i marotabaga ko'paytirish.

$$\frac{5\times 2+5i}{5}+ki$$

5\times 2+5i ichidagi ko‘paytirishlarni bajaring.

$$\frac{10+5i}{5}+ki$$

2+i ni olish uchun 10+5i ni 5 ga bo‘ling.

$$2+i+ki$$