Aromātai
\frac{195}{8}+\frac{17745}{16}i=24.375+1109.0625i
Wāhi Tūturu
\frac{195}{8} = 24\frac{3}{8} = 24.375
Tohaina
Kua tāruatia ki te papatopenga
\frac{130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365i^{2}}{130+5915i+30+1365i}
Me whakarea ngā tau matatini 130+5915i me 30+1365i pēnā i te whakarea huarua.
\frac{130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365\left(-1\right)}{130+5915i+30+1365i}
Hei tōna tikanga, ko te i^{2} ko -1.
\frac{3900+177450i+177450i-8073975}{130+5915i+30+1365i}
Mahia ngā whakarea i roto o 130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365\left(-1\right).
\frac{3900-8073975+\left(177450+177450\right)i}{130+5915i+30+1365i}
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 3900+177450i+177450i-8073975.
\frac{-8070075+354900i}{130+5915i+30+1365i}
Mahia ngā tāpiri i roto o 3900-8073975+\left(177450+177450\right)i.
\frac{-8070075+354900i}{130+30+\left(5915+1365\right)i}
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 130+5915i+30+1365i.
\frac{-8070075+354900i}{160+7280i}
Mahia ngā tāpiri i roto o 130+30+\left(5915+1365\right)i.
\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{\left(160+7280i\right)\left(160-7280i\right)}
Whakareatia te taurunga me te tauraro ki te haumi hiato o te tauraro, 160-7280i.
\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{160^{2}-7280^{2}i^{2}}
Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{53024000}
Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.
\frac{-8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)i^{2}}{53024000}
Me whakarea ngā tau matatini -8070075+354900i me 160-7280i pēnā i te whakarea huarua.
\frac{-8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)\left(-1\right)}{53024000}
Hei tōna tikanga, ko te i^{2} ko -1.
\frac{-1291212000+58750146000i+56784000i+2583672000}{53024000}
Mahia ngā whakarea i roto o -8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)\left(-1\right).
\frac{-1291212000+2583672000+\left(58750146000+56784000\right)i}{53024000}
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -1291212000+58750146000i+56784000i+2583672000.
\frac{1292460000+58806930000i}{53024000}
Mahia ngā tāpiri i roto o -1291212000+2583672000+\left(58750146000+56784000\right)i.
\frac{195}{8}+\frac{17745}{16}i
Whakawehea te 1292460000+58806930000i ki te 53024000, kia riro ko \frac{195}{8}+\frac{17745}{16}i.
Re(\frac{130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365i^{2}}{130+5915i+30+1365i})
Me whakarea ngā tau matatini 130+5915i me 30+1365i pēnā i te whakarea huarua.
Re(\frac{130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365\left(-1\right)}{130+5915i+30+1365i})
Hei tōna tikanga, ko te i^{2} ko -1.
Re(\frac{3900+177450i+177450i-8073975}{130+5915i+30+1365i})
Mahia ngā whakarea i roto o 130\times 30+130\times \left(1365i\right)+5915i\times 30+5915\times 1365\left(-1\right).
Re(\frac{3900-8073975+\left(177450+177450\right)i}{130+5915i+30+1365i})
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 3900+177450i+177450i-8073975.
Re(\frac{-8070075+354900i}{130+5915i+30+1365i})
Mahia ngā tāpiri i roto o 3900-8073975+\left(177450+177450\right)i.
Re(\frac{-8070075+354900i}{130+30+\left(5915+1365\right)i})
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki 130+5915i+30+1365i.
Re(\frac{-8070075+354900i}{160+7280i})
Mahia ngā tāpiri i roto o 130+30+\left(5915+1365\right)i.
Re(\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{\left(160+7280i\right)\left(160-7280i\right)})
Me whakarea te taurunga me te tauraro o \frac{-8070075+354900i}{160+7280i} ki te haumi hiato o te tauraro, 160-7280i.
Re(\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{160^{2}-7280^{2}i^{2}})
Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
Re(\frac{\left(-8070075+354900i\right)\left(160-7280i\right)}{53024000})
Hei tōna tikanga, ko te i^{2} ko -1. Tātaitia te tauraro.
Re(\frac{-8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)i^{2}}{53024000})
Me whakarea ngā tau matatini -8070075+354900i me 160-7280i pēnā i te whakarea huarua.
Re(\frac{-8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)\left(-1\right)}{53024000})
Hei tōna tikanga, ko te i^{2} ko -1.
Re(\frac{-1291212000+58750146000i+56784000i+2583672000}{53024000})
Mahia ngā whakarea i roto o -8070075\times 160-8070075\times \left(-7280i\right)+354900i\times 160+354900\left(-7280\right)\left(-1\right).
Re(\frac{-1291212000+2583672000+\left(58750146000+56784000\right)i}{53024000})
Whakakotahitia ngā wāhi tūturu me ngā wāhi pōhewa ki -1291212000+58750146000i+56784000i+2583672000.
Re(\frac{1292460000+58806930000i}{53024000})
Mahia ngā tāpiri i roto o -1291212000+2583672000+\left(58750146000+56784000\right)i.
Re(\frac{195}{8}+\frac{17745}{16}i)
Whakawehea te 1292460000+58806930000i ki te 53024000, kia riro ko \frac{195}{8}+\frac{17745}{16}i.
\frac{195}{8}
Ko te wāhi tūturu o \frac{195}{8}+\frac{17745}{16}i ko \frac{195}{8}.
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