Whakaoti i te 2+55i/52-7i+left(25-iright)^3

$$\frac{ 2+55i }{ 52-7i } + { \left(25-i \right) }^{ 3 }$$

Aromātai

$$\frac{42808869}{2753}-\frac{5156248}{2753}i\approx 15549.897929531-1872.956047948i$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{2+55i}{52-7i} ki te haumi hiato o te tauraro, 52+7i.

$$\frac{\left(2+55i\right)\left(52+7i\right)}{\left(52-7i\right)\left(52+7i\right)}+\left(25-i\right)^{3}$$

Mahia ngā whakarea i roto o \frac{\left(2+55i\right)\left(52+7i\right)}{\left(52-7i\right)\left(52+7i\right)}.

$$\frac{-281+2874i}{2753}+\left(25-i\right)^{3}$$

Whakawehea te -281+2874i ki te 2753, kia riro ko -\frac{281}{2753}+\frac{2874}{2753}i.

$$-\frac{281}{2753}+\frac{2874}{2753}i+\left(25-i\right)^{3}$$

Tātaihia te 25-i mā te pū o 3, kia riro ko 15550-1874i.

$$-\frac{281}{2753}+\frac{2874}{2753}i+\left(15550-1874i\right)$$

Tāpirihia te -\frac{281}{2753}+\frac{2874}{2753}i ki te 15550-1874i, ka \frac{42808869}{2753}-\frac{5156248}{2753}i.

$$\frac{42808869}{2753}-\frac{5156248}{2753}i$$

Wāhi Tūturu

$$\frac{42808869}{2753} = 15549\frac{2472}{2753} = 15549.89792953142$$

Ngā Upane Otinga

Me whakarea te taurunga me te tauraro o \frac{2+55i}{52-7i} ki te haumi hiato o te tauraro, 52+7i.

$$Re(\frac{\left(2+55i\right)\left(52+7i\right)}{\left(52-7i\right)\left(52+7i\right)}+\left(25-i\right)^{3})$$

Mahia ngā whakarea i roto o \frac{\left(2+55i\right)\left(52+7i\right)}{\left(52-7i\right)\left(52+7i\right)}.

$$Re(\frac{-281+2874i}{2753}+\left(25-i\right)^{3})$$

Whakawehea te -281+2874i ki te 2753, kia riro ko -\frac{281}{2753}+\frac{2874}{2753}i.

$$Re(-\frac{281}{2753}+\frac{2874}{2753}i+\left(25-i\right)^{3})$$

Tātaihia te 25-i mā te pū o 3, kia riro ko 15550-1874i.

$$Re(-\frac{281}{2753}+\frac{2874}{2753}i+\left(15550-1874i\right))$$

Tāpirihia te -\frac{281}{2753}+\frac{2874}{2753}i ki te 15550-1874i, ka \frac{42808869}{2753}-\frac{5156248}{2753}i.

$$Re(\frac{42808869}{2753}-\frac{5156248}{2753}i)$$

Ko te wāhi tūturu o \frac{42808869}{2753}-\frac{5156248}{2753}i ko \frac{42808869}{2753}.

$$\frac{42808869}{2753}$$