11+17i/-3-i eching

$$\frac { 11 + 17 i } { - 3 - i }$$

Baholash

$$-5-4i$$

Yechim qadamlari

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, -3+i.

$$\frac{\left(11+17i\right)\left(-3+i\right)}{\left(-3-i\right)\left(-3+i\right)}$$

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

$$\frac{\left(11+17i\right)\left(-3+i\right)}{\left(-3\right)^{2}-i^{2}}$$

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

$$\frac{\left(11+17i\right)\left(-3+i\right)}{10}$$

Binomlarni ko‘paytirgandek 11+17i va -3+i murakkab sonlarni ko‘paytiring.

$$\frac{11\left(-3\right)+11i+17i\left(-3\right)+17i^{2}}{10}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$\frac{11\left(-3\right)+11i+17i\left(-3\right)+17\left(-1\right)}{10}$$

11\left(-3\right)+11i+17i\left(-3\right)+17\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{-33+11i-51i-17}{10}$$

-33+11i-51i-17 ichida real va mavhum qismlarni birlashtiring.

$$\frac{-33-17+\left(11-51\right)i}{10}$$

-33-17+\left(11-51\right)i ichida qo‘shishlarni bajaring.

$$\frac{-50-40i}{10}$$

-5-4i ni olish uchun -50-40i ni 10 ga bo‘ling.

$$-5-4i$$

Ashyoviy qism

$$-5$$

Yechim qadamlari

\frac{11+17i}{-3-i}ning surat va maxrajini murakkab tutash maxraj -3+i bilan ko‘paytiring.

$$Re(\frac{\left(11+17i\right)\left(-3+i\right)}{\left(-3-i\right)\left(-3+i\right)})$$

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

$$Re(\frac{\left(11+17i\right)\left(-3+i\right)}{\left(-3\right)^{2}-i^{2}})$$

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

$$Re(\frac{\left(11+17i\right)\left(-3+i\right)}{10})$$

Binomlarni ko‘paytirgandek 11+17i va -3+i murakkab sonlarni ko‘paytiring.

$$Re(\frac{11\left(-3\right)+11i+17i\left(-3\right)+17i^{2}}{10})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(\frac{11\left(-3\right)+11i+17i\left(-3\right)+17\left(-1\right)}{10})$$

11\left(-3\right)+11i+17i\left(-3\right)+17\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{-33+11i-51i-17}{10})$$

-33+11i-51i-17 ichida real va mavhum qismlarni birlashtiring.

$$Re(\frac{-33-17+\left(11-51\right)i}{10})$$

-33-17+\left(11-51\right)i ichida qo‘shishlarni bajaring.

$$Re(\frac{-50-40i}{10})$$

-5-4i ni olish uchun -50-40i ni 10 ga bo‘ling.

$$Re(-5-4i)$$

-5-4i ning real qismi – -5.

$$-5$$