Luacháil
\frac{3}{5}+\frac{1}{5}i=0.6+0.2i
Fíorpháirt
\frac{3}{5} = 0.6
Tráth na gCeist
Complex Number
5 fadhbanna cosúil le:
\frac { 4 i } { 1 - 2 i } + \frac { 1 - i } { 1 + 2 i } + \frac { 12 } { 5 }
Roinn
Cóipeáladh go dtí an ghearrthaisce
\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}+\frac{1-i}{1+2i}+\frac{12}{5}
Iolraigh uimhreoir agus ainmneoir \frac{4i}{1-2i} faoi chomhchuingeach coimpléascach an ainmneora, 1+2i.
\frac{-8+4i}{5}+\frac{1-i}{1+2i}+\frac{12}{5}
Déan iolrúcháin in \frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}.
-\frac{8}{5}+\frac{4}{5}i+\frac{1-i}{1+2i}+\frac{12}{5}
Roinn -8+4i faoi 5 chun -\frac{8}{5}+\frac{4}{5}i a fháil.
\frac{1-i}{1+2i}+\frac{4}{5}+\frac{4}{5}i
Déan suimiú.
\frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}+\frac{4}{5}+\frac{4}{5}i
Iolraigh uimhreoir agus ainmneoir \frac{1-i}{1+2i} faoi chomhchuingeach coimpléascach an ainmneora, 1-2i.
\frac{-1-3i}{5}+\frac{4}{5}+\frac{4}{5}i
Déan iolrúcháin in \frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}.
-\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i
Roinn -1-3i faoi 5 chun -\frac{1}{5}-\frac{3}{5}i a fháil.
\frac{3}{5}+\frac{1}{5}i
Déan suimiú.
Re(\frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}+\frac{1-i}{1+2i}+\frac{12}{5})
Iolraigh uimhreoir agus ainmneoir \frac{4i}{1-2i} faoi chomhchuingeach coimpléascach an ainmneora, 1+2i.
Re(\frac{-8+4i}{5}+\frac{1-i}{1+2i}+\frac{12}{5})
Déan iolrúcháin in \frac{4i\left(1+2i\right)}{\left(1-2i\right)\left(1+2i\right)}.
Re(-\frac{8}{5}+\frac{4}{5}i+\frac{1-i}{1+2i}+\frac{12}{5})
Roinn -8+4i faoi 5 chun -\frac{8}{5}+\frac{4}{5}i a fháil.
Re(\frac{1-i}{1+2i}+\frac{4}{5}+\frac{4}{5}i)
Déan suimiú in -\frac{8}{5}+\frac{4}{5}i+\frac{12}{5}.
Re(\frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}+\frac{4}{5}+\frac{4}{5}i)
Iolraigh uimhreoir agus ainmneoir \frac{1-i}{1+2i} faoi chomhchuingeach coimpléascach an ainmneora, 1-2i.
Re(\frac{-1-3i}{5}+\frac{4}{5}+\frac{4}{5}i)
Déan iolrúcháin in \frac{\left(1-i\right)\left(1-2i\right)}{\left(1+2i\right)\left(1-2i\right)}.
Re(-\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i)
Roinn -1-3i faoi 5 chun -\frac{1}{5}-\frac{3}{5}i a fháil.
Re(\frac{3}{5}+\frac{1}{5}i)
Déan suimiú in -\frac{1}{5}-\frac{3}{5}i+\frac{4}{5}+\frac{4}{5}i.
\frac{3}{5}
Is é \frac{3}{5} fíorchuid \frac{3}{5}+\frac{1}{5}i.
Samplaí
Cothromóid chearnach
{ x } ^ { 2 } - 4 x - 5 = 0
Triantánacht
4 \sin \theta \cos \theta = 2 \sin \theta
Cothromóid líneach
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Uimhríocht
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\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]
Cothromóid chomhuaineach
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Difreáil
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Comhtháthú
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Teorainneacha
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}