Baholash
-\frac{29}{73}+\frac{53}{73}i\approx -0,397260274+0,726027397i
Ashyoviy qism
-\frac{29}{73} = -0,3972602739726027
Baham ko'rish
Klipbordga nusxa olish
\frac{-1+7i}{8-3i}
7 ni olish uchun 14 ni 2 ga bo‘ling.
\frac{\left(-1+7i\right)\left(8+3i\right)}{\left(8-3i\right)\left(8+3i\right)}
Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 8+3i.
\frac{\left(-1+7i\right)\left(8+3i\right)}{8^{2}-3^{2}i^{2}}
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\left(-1+7i\right)\left(8+3i\right)}{73}
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
\frac{-8-3i+7i\times 8+7\times 3i^{2}}{73}
Binomlarni ko‘paytirgandek -1+7i va 8+3i murakkab sonlarni ko‘paytiring.
\frac{-8-3i+7i\times 8+7\times 3\left(-1\right)}{73}
Ta’rifi bo‘yicha, i^{2} – bu -1.
\frac{-8-3i+56i-21}{73}
-8-3i+7i\times 8+7\times 3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-8-21+\left(-3+56\right)i}{73}
-8-3i+56i-21 ichida real va mavhum qismlarni birlashtiring.
\frac{-29+53i}{73}
-8-21+\left(-3+56\right)i ichida qo‘shishlarni bajaring.
-\frac{29}{73}+\frac{53}{73}i
-\frac{29}{73}+\frac{53}{73}i ni olish uchun -29+53i ni 73 ga bo‘ling.
Re(\frac{-1+7i}{8-3i})
7 ni olish uchun 14 ni 2 ga bo‘ling.
Re(\frac{\left(-1+7i\right)\left(8+3i\right)}{\left(8-3i\right)\left(8+3i\right)})
\frac{-1+7i}{8-3i}ning surat va maxrajini murakkab tutash maxraj 8+3i bilan ko‘paytiring.
Re(\frac{\left(-1+7i\right)\left(8+3i\right)}{8^{2}-3^{2}i^{2}})
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
Re(\frac{\left(-1+7i\right)\left(8+3i\right)}{73})
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
Re(\frac{-8-3i+7i\times 8+7\times 3i^{2}}{73})
Binomlarni ko‘paytirgandek -1+7i va 8+3i murakkab sonlarni ko‘paytiring.
Re(\frac{-8-3i+7i\times 8+7\times 3\left(-1\right)}{73})
Ta’rifi bo‘yicha, i^{2} – bu -1.
Re(\frac{-8-3i+56i-21}{73})
-8-3i+7i\times 8+7\times 3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
Re(\frac{-8-21+\left(-3+56\right)i}{73})
-8-3i+56i-21 ichida real va mavhum qismlarni birlashtiring.
Re(\frac{-29+53i}{73})
-8-21+\left(-3+56\right)i ichida qo‘shishlarni bajaring.
Re(-\frac{29}{73}+\frac{53}{73}i)
-\frac{29}{73}+\frac{53}{73}i ni olish uchun -29+53i ni 73 ga bo‘ling.
-\frac{29}{73}
-\frac{29}{73}+\frac{53}{73}i ning real qismi – -\frac{29}{73}.
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