-3-3i/-3+i eching

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

Baholash

$$\frac{3}{5}+\frac{6}{5}i=0,6+1,2i$$

Yechim qadamlari

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

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

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

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

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

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

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

$$\frac{-3\left(-3\right)-3\left(-i\right)-3i\left(-3\right)-3\left(-1\right)i^{2}}{10}$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$\frac{9+3i+9i-3}{10}$$

9+3i+9i-3 ichida real va mavhum qismlarni birlashtiring.

$$\frac{9-3+\left(3+9\right)i}{10}$$

9-3+\left(3+9\right)i ichida qo‘shishlarni bajaring.

$$\frac{6+12i}{10}$$

\frac{3}{5}+\frac{6}{5}i ni olish uchun 6+12i ni 10 ga bo‘ling.

$$\frac{3}{5}+\frac{6}{5}i$$

Ashyoviy qism

$$\frac{3}{5} = 0,6$$

Yechim qadamlari

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

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

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

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

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

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

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

$$Re(\frac{-3\left(-3\right)-3\left(-i\right)-3i\left(-3\right)-3\left(-1\right)i^{2}}{10})$$

Ta’rifi bo‘yicha, i^{2} – bu -1.

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

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

$$Re(\frac{9+3i+9i-3}{10})$$

9+3i+9i-3 ichida real va mavhum qismlarni birlashtiring.

$$Re(\frac{9-3+\left(3+9\right)i}{10})$$

9-3+\left(3+9\right)i ichida qo‘shishlarni bajaring.

$$Re(\frac{6+12i}{10})$$

\frac{3}{5}+\frac{6}{5}i ni olish uchun 6+12i ni 10 ga bo‘ling.

$$Re(\frac{3}{5}+\frac{6}{5}i)$$

\frac{3}{5}+\frac{6}{5}i ning real qismi – \frac{3}{5}.

$$\frac{3}{5}$$