Datrys 1+2i/3-i+2-i/5i

$$\frac { 1 + 2 i } { 3 - i } + \frac { 2 - i } { 5 i }$$

Enrhifo

$$-\frac{1}{10}+\frac{3}{10}i=-0.1+0.3i$$

Camau Ateb

Lluoswch rifiadur ac enwadur \frac{1+2i}{3-i} gyda chyfiau cymhleth yr enwadur 3+i.

$$\frac{\left(1+2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}+\frac{2-i}{5i}$$

Gwnewch y gwaith lluosi yn \frac{\left(1+2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}.

$$\frac{1+7i}{10}+\frac{2-i}{5i}$$

Rhannu 1+7i â 10 i gael \frac{1}{10}+\frac{7}{10}i.

$$\frac{1}{10}+\frac{7}{10}i+\frac{2-i}{5i}$$

Lluoswch rifiadur ac enwadur \frac{2-i}{5i} gyda’r uned dychmygol i.

$$\frac{1}{10}+\frac{7}{10}i+\frac{1+2i}{-5}$$

Rhannu 1+2i â -5 i gael -\frac{1}{5}-\frac{2}{5}i.

$$\frac{1}{10}+\frac{7}{10}i+\left(-\frac{1}{5}-\frac{2}{5}i\right)$$

Adio \frac{1}{10}+\frac{7}{10}i a -\frac{1}{5}-\frac{2}{5}i i gael -\frac{1}{10}+\frac{3}{10}i.

$$-\frac{1}{10}+\frac{3}{10}i$$

Rhan Real

$$-\frac{1}{10} = -0.1$$

Camau Ateb

Lluoswch rifiadur ac enwadur \frac{1+2i}{3-i} gyda chyfiau cymhleth yr enwadur 3+i.

$$Re(\frac{\left(1+2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}+\frac{2-i}{5i})$$

Gwnewch y gwaith lluosi yn \frac{\left(1+2i\right)\left(3+i\right)}{\left(3-i\right)\left(3+i\right)}.

$$Re(\frac{1+7i}{10}+\frac{2-i}{5i})$$

Rhannu 1+7i â 10 i gael \frac{1}{10}+\frac{7}{10}i.

$$Re(\frac{1}{10}+\frac{7}{10}i+\frac{2-i}{5i})$$

Lluoswch rifiadur ac enwadur \frac{2-i}{5i} gyda’r uned dychmygol i.

$$Re(\frac{1}{10}+\frac{7}{10}i+\frac{1+2i}{-5})$$

Rhannu 1+2i â -5 i gael -\frac{1}{5}-\frac{2}{5}i.

$$Re(\frac{1}{10}+\frac{7}{10}i+\left(-\frac{1}{5}-\frac{2}{5}i\right))$$

Adio \frac{1}{10}+\frac{7}{10}i a -\frac{1}{5}-\frac{2}{5}i i gael -\frac{1}{10}+\frac{3}{10}i.

$$Re(-\frac{1}{10}+\frac{3}{10}i)$$

Rhan real -\frac{1}{10}+\frac{3}{10}i yw -\frac{1}{10}.

$$-\frac{1}{10}$$