Baholash
\frac{13}{85}-\frac{84}{85}i\approx 0,152941176-0,988235294i
Ashyoviy qism
\frac{13}{85} = 0,15294117647058825
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(7-6i\right)\left(7-6i\right)}{\left(7+6i\right)\left(7-6i\right)}
Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 7-6i.
\frac{\left(7-6i\right)\left(7-6i\right)}{7^{2}-6^{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(7-6i\right)\left(7-6i\right)}{85}
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
\frac{7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)i^{2}}{85}
Binomlarni ko‘paytirgandek 7-6i va 7-6i murakkab sonlarni ko‘paytiring.
\frac{7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)\left(-1\right)}{85}
Ta’rifi bo‘yicha, i^{2} – bu -1.
\frac{49-42i-42i-36}{85}
7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{49-36+\left(-42-42\right)i}{85}
49-42i-42i-36 ichida real va mavhum qismlarni birlashtiring.
\frac{13-84i}{85}
49-36+\left(-42-42\right)i ichida qo‘shishlarni bajaring.
\frac{13}{85}-\frac{84}{85}i
\frac{13}{85}-\frac{84}{85}i ni olish uchun 13-84i ni 85 ga bo‘ling.
Re(\frac{\left(7-6i\right)\left(7-6i\right)}{\left(7+6i\right)\left(7-6i\right)})
\frac{7-6i}{7+6i}ning surat va maxrajini murakkab tutash maxraj 7-6i bilan ko‘paytiring.
Re(\frac{\left(7-6i\right)\left(7-6i\right)}{7^{2}-6^{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(7-6i\right)\left(7-6i\right)}{85})
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
Re(\frac{7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)i^{2}}{85})
Binomlarni ko‘paytirgandek 7-6i va 7-6i murakkab sonlarni ko‘paytiring.
Re(\frac{7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)\left(-1\right)}{85})
Ta’rifi bo‘yicha, i^{2} – bu -1.
Re(\frac{49-42i-42i-36}{85})
7\times 7+7\times \left(-6i\right)-6i\times 7-6\left(-6\right)\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
Re(\frac{49-36+\left(-42-42\right)i}{85})
49-42i-42i-36 ichida real va mavhum qismlarni birlashtiring.
Re(\frac{13-84i}{85})
49-36+\left(-42-42\right)i ichida qo‘shishlarni bajaring.
Re(\frac{13}{85}-\frac{84}{85}i)
\frac{13}{85}-\frac{84}{85}i ni olish uchun 13-84i ni 85 ga bo‘ling.
\frac{13}{85}
\frac{13}{85}-\frac{84}{85}i ning real qismi – \frac{13}{85}.
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