Resolver ((4-3i)^-1+(-2+i)^-1)

$$( ( 4 - 3 i ) ^ { - 1 } + ( - 2 + i ) ^ { - 1 } )$$

Ebaluatu

$$-\frac{6}{25}-\frac{2}{25}i=-0.24-0.08i$$

Ebazpidea

\frac{4}{25}+\frac{3}{25}i lortzeko, egin 4-3i ber -1.

$$\frac{4}{25}+\frac{3}{25}i+\left(-2+i\right)^{-1}$$

-\frac{2}{5}-\frac{1}{5}i lortzeko, egin -2+i ber -1.

$$\frac{4}{25}+\frac{3}{25}i+\left(-\frac{2}{5}-\frac{1}{5}i\right)$$

-\frac{6}{25}-\frac{2}{25}i lortzeko, gehitu \frac{4}{25}+\frac{3}{25}i eta -\frac{2}{5}-\frac{1}{5}i.

$$-\frac{6}{25}-\frac{2}{25}i$$

Zati erreala

$$-\frac{6}{25} = -0.24$$

Ebazpidea

\frac{4}{25}+\frac{3}{25}i lortzeko, egin 4-3i ber -1.

$$Re(\frac{4}{25}+\frac{3}{25}i+\left(-2+i\right)^{-1})$$

-\frac{2}{5}-\frac{1}{5}i lortzeko, egin -2+i ber -1.

$$Re(\frac{4}{25}+\frac{3}{25}i+\left(-\frac{2}{5}-\frac{1}{5}i\right))$$

-\frac{6}{25}-\frac{2}{25}i lortzeko, gehitu \frac{4}{25}+\frac{3}{25}i eta -\frac{2}{5}-\frac{1}{5}i.

$$Re(-\frac{6}{25}-\frac{2}{25}i)$$

-\frac{6}{25}-\frac{2}{25}i zenbakiaren zati erreala -\frac{6}{25} da.

$$-\frac{6}{25}$$