1/11-5i= eching

$$\frac { 1 } { 11 - 5 i } =$$

Baholash

$$\frac{11}{146}+\frac{5}{146}i\approx 0,075342466+0,034246575i$$

Yechim qadamlari

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 11+5i.

$$\frac{1\left(11+5i\right)}{\left(11-5i\right)\left(11+5i\right)}$$

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

$$\frac{1\left(11+5i\right)}{11^{2}-5^{2}i^{2}}$$

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

$$\frac{1\left(11+5i\right)}{146}$$

11+5i hosil qilish uchun 1 va 11+5i ni ko'paytirish.

$$\frac{11+5i}{146}$$

\frac{11}{146}+\frac{5}{146}i ni olish uchun 11+5i ni 146 ga bo‘ling.

$$\frac{11}{146}+\frac{5}{146}i$$

Ashyoviy qism

$$\frac{11}{146} = 0,07534246575342465$$

Yechim qadamlari

\frac{1}{11-5i}ning surat va maxrajini murakkab tutash maxraj 11+5i bilan ko‘paytiring.

$$Re(\frac{1\left(11+5i\right)}{\left(11-5i\right)\left(11+5i\right)})$$

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

$$Re(\frac{1\left(11+5i\right)}{11^{2}-5^{2}i^{2}})$$

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

$$Re(\frac{1\left(11+5i\right)}{146})$$

11+5i hosil qilish uchun 1 va 11+5i ni ko'paytirish.

$$Re(\frac{11+5i}{146})$$

\frac{11}{146}+\frac{5}{146}i ni olish uchun 11+5i ni 146 ga bo‘ling.

$$Re(\frac{11}{146}+\frac{5}{146}i)$$

\frac{11}{146}+\frac{5}{146}i ning real qismi – \frac{11}{146}.

$$\frac{11}{146}$$