Baholash
\frac{2}{5}-\frac{6}{5}i=0,4-1,2i
Ashyoviy qism
\frac{2}{5} = 0,4
Baham ko'rish
Klipbordga nusxa olish
2\times \frac{\left(1-i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}
\frac{1-i}{2+i}ning surat va maxrajini murakkab tutash maxraj 2-i bilan ko‘paytiring.
2\times \frac{\left(1-i\right)\left(2-i\right)}{2^{2}-i^{2}}
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
2\times \frac{\left(1-i\right)\left(2-i\right)}{5}
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
2\times \frac{1\times 2+1\left(-i\right)-i\times 2-\left(-i^{2}\right)}{5}
Binomlarni ko‘paytirgandek 1-i va 2-i murakkab sonlarni ko‘paytiring.
2\times \frac{1\times 2+1\left(-i\right)-i\times 2-\left(-\left(-1\right)\right)}{5}
Ta’rifi bo‘yicha, i^{2} – bu -1.
2\times \frac{2-i-2i-1}{5}
1\times 2+1\left(-i\right)-i\times 2-\left(-\left(-1\right)\right) ichidagi ko‘paytirishlarni bajaring.
2\times \frac{2-1+\left(-1-2\right)i}{5}
2-i-2i-1 ichida real va mavhum qismlarni birlashtiring.
2\times \frac{1-3i}{5}
2-1+\left(-1-2\right)i ichida qo‘shishlarni bajaring.
2\left(\frac{1}{5}-\frac{3}{5}i\right)
\frac{1}{5}-\frac{3}{5}i ni olish uchun 1-3i ni 5 ga bo‘ling.
2\times \frac{1}{5}+2\times \left(-\frac{3}{5}i\right)
2 ni \frac{1}{5}-\frac{3}{5}i marotabaga ko'paytirish.
\frac{2}{5}-\frac{6}{5}i
Ko‘paytirishlarni bajaring.
Re(2\times \frac{\left(1-i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)})
\frac{1-i}{2+i}ning surat va maxrajini murakkab tutash maxraj 2-i bilan ko‘paytiring.
Re(2\times \frac{\left(1-i\right)\left(2-i\right)}{2^{2}-i^{2}})
Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
Re(2\times \frac{\left(1-i\right)\left(2-i\right)}{5})
Ta’rifi bo‘yicha, i^{2} – bu -1. Maxrajini hisoblang.
Re(2\times \frac{1\times 2+1\left(-i\right)-i\times 2-\left(-i^{2}\right)}{5})
Binomlarni ko‘paytirgandek 1-i va 2-i murakkab sonlarni ko‘paytiring.
Re(2\times \frac{1\times 2+1\left(-i\right)-i\times 2-\left(-\left(-1\right)\right)}{5})
Ta’rifi bo‘yicha, i^{2} – bu -1.
Re(2\times \frac{2-i-2i-1}{5})
1\times 2+1\left(-i\right)-i\times 2-\left(-\left(-1\right)\right) ichidagi ko‘paytirishlarni bajaring.
Re(2\times \frac{2-1+\left(-1-2\right)i}{5})
2-i-2i-1 ichida real va mavhum qismlarni birlashtiring.
Re(2\times \frac{1-3i}{5})
2-1+\left(-1-2\right)i ichida qo‘shishlarni bajaring.
Re(2\left(\frac{1}{5}-\frac{3}{5}i\right))
\frac{1}{5}-\frac{3}{5}i ni olish uchun 1-3i ni 5 ga bo‘ling.
Re(2\times \frac{1}{5}+2\times \left(-\frac{3}{5}i\right))
2 ni \frac{1}{5}-\frac{3}{5}i marotabaga ko'paytirish.
Re(\frac{2}{5}-\frac{6}{5}i)
2\times \frac{1}{5}+2\times \left(-\frac{3}{5}i\right) ichidagi ko‘paytirishlarni bajaring.
\frac{2}{5}
\frac{2}{5}-\frac{6}{5}i ning real qismi – \frac{2}{5}.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
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}