Baholash
\frac{7}{5}-\frac{1}{5}i=1,4-0,2i
Ashyoviy qism
\frac{7}{5} = 1\frac{2}{5} = 1,4
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(4-2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}
Ham hisoblagich, ham maxrajni maxraj kompleksiga murakkablash orqali ko'paytirish, 3+i.
\frac{\left(4-2i\right)\left(3+i\right)}{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(4-2i\right)\left(3+i\right)}{10}
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
\frac{4\times 3+4i-2i\times 3-2i^{2}}{10}
Binomlarni ko‘paytirgandek 4-2i va 3+i murakkab sonlarni ko‘paytiring.
\frac{4\times 3+4i-2i\times 3-2\left(-1\right)}{10}
Ta’rifi bo‘yicha, i^{2} – bu -1.
\frac{12+4i-6i+2}{10}
4\times 3+4i-2i\times 3-2\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{12+2+\left(4-6\right)i}{10}
12+4i-6i+2 ichida real va mavhum qismlarni birlashtiring.
\frac{14-2i}{10}
12+2+\left(4-6\right)i ichida qo‘shishlarni bajaring.
\frac{7}{5}-\frac{1}{5}i
\frac{7}{5}-\frac{1}{5}i ni olish uchun 14-2i ni 10 ga bo‘ling.
Re(\frac{\left(4-2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)})
\frac{4-2i}{3-i}ning surat va maxrajini murakkab tutash maxraj 3+i bilan ko‘paytiring.
Re(\frac{\left(4-2i\right)\left(3+i\right)}{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(4-2i\right)\left(3+i\right)}{10})
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
Re(\frac{4\times 3+4i-2i\times 3-2i^{2}}{10})
Binomlarni ko‘paytirgandek 4-2i va 3+i murakkab sonlarni ko‘paytiring.
Re(\frac{4\times 3+4i-2i\times 3-2\left(-1\right)}{10})
Ta’rifi bo‘yicha, i^{2} – bu -1.
Re(\frac{12+4i-6i+2}{10})
4\times 3+4i-2i\times 3-2\left(-1\right) ichidagi ko‘paytirishlarni bajaring.
Re(\frac{12+2+\left(4-6\right)i}{10})
12+4i-6i+2 ichida real va mavhum qismlarni birlashtiring.
Re(\frac{14-2i}{10})
12+2+\left(4-6\right)i ichida qo‘shishlarni bajaring.
Re(\frac{7}{5}-\frac{1}{5}i)
\frac{7}{5}-\frac{1}{5}i ni olish uchun 14-2i ni 10 ga bo‘ling.
\frac{7}{5}
\frac{7}{5}-\frac{1}{5}i ning real qismi – \frac{7}{5}.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}