-4+20i/-6+4i eching

$$\frac { - 4 + 20 i } { - 6 + 4 i }$$

Baholash

$$2-2i$$

Yechim qadamlari

Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, -6-4i.

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6+4i\right)\left(-6-4i\right)}$$

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

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6\right)^{2}-4^{2}i^{2}}$$

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

$$\frac{\left(-4+20i\right)\left(-6-4i\right)}{52}$$

Binomlarni ko‘paytirgandek -4+20i va -6-4i murakkab sonlarni ko‘paytiring.

$$\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)i^{2}}{52}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right)}{52}$$

-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{24+16i-120i+80}{52}$$

24+16i-120i+80 ichida real va mavhum qismlarni birlashtiring.

$$\frac{24+80+\left(16-120\right)i}{52}$$

24+80+\left(16-120\right)i ichida qo‘shishlarni bajaring.

$$\frac{104-104i}{52}$$

2-2i ni olish uchun 104-104i ni 52 ga bo‘ling.

$$2-2i$$

Ashyoviy qism

$$2$$

Yechim qadamlari

\frac{-4+20i}{-6+4i}ning surat va maxrajini murakkab tutash maxraj -6-4i bilan ko‘paytiring.

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6+4i\right)\left(-6-4i\right)})$$

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

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{\left(-6\right)^{2}-4^{2}i^{2}})$$

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

$$Re(\frac{\left(-4+20i\right)\left(-6-4i\right)}{52})$$

Binomlarni ko‘paytirgandek -4+20i va -6-4i murakkab sonlarni ko‘paytiring.

$$Re(\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)i^{2}}{52})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

$$Re(\frac{-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right)}{52})$$

-4\left(-6\right)-4\times \left(-4i\right)+20i\left(-6\right)+20\left(-4\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$Re(\frac{24+16i-120i+80}{52})$$

24+16i-120i+80 ichida real va mavhum qismlarni birlashtiring.

$$Re(\frac{24+80+\left(16-120\right)i}{52})$$

24+80+\left(16-120\right)i ichida qo‘shishlarni bajaring.

$$Re(\frac{104-104i}{52})$$

2-2i ni olish uchun 104-104i ni 52 ga bo‘ling.

$$Re(2-2i)$$

2-2i ning real qismi – 2.

$$2$$