Issolvi 1/7+3i=

$$\frac { 1 } { 7 + 3 i } =$$

Evalwa

$$\frac{7}{58}-\frac{3}{58}i\approx 0.120689655-0.051724138i$$

Passi tas-Soluzzjonijiet

Immultiplika kemm in-numeratur u d-denominatur bil-konjugat kumpless tad-denominatur, 7-3i.

$$\frac{1\left(7-3i\right)}{\left(7+3i\right)\left(7-3i\right)}$$

Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{1\left(7-3i\right)}{7^{2}-3^{2}i^{2}}$$

Skont id-definizzjoni, i^{2} huwa -1. Ikkalkula d-denominatur.

$$\frac{1\left(7-3i\right)}{58}$$

Immultiplika 1 u 7-3i biex tikseb 7-3i.

$$\frac{7-3i}{58}$$

Iddividi 7-3i b'58 biex tikseb\frac{7}{58}-\frac{3}{58}i.

$$\frac{7}{58}-\frac{3}{58}i$$

Parti Reali

$$\frac{7}{58} = 0.1206896551724138$$

Passi tas-Soluzzjonijiet

Immultiplika kemm in-numeratur u d-denominatur ta' \frac{1}{7+3i} bil-konjugat kumpless tad-denominatur, 7-3i.

$$Re(\frac{1\left(7-3i\right)}{\left(7+3i\right)\left(7-3i\right)})$$

Il-multiplikazzjoni tista' tiġi ttrasformata fid-differenza tal-kwadrati li jużaw ir-regola: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$Re(\frac{1\left(7-3i\right)}{7^{2}-3^{2}i^{2}})$$

Skont id-definizzjoni, i^{2} huwa -1. Ikkalkula d-denominatur.

$$Re(\frac{1\left(7-3i\right)}{58})$$

Immultiplika 1 u 7-3i biex tikseb 7-3i.

$$Re(\frac{7-3i}{58})$$

Iddividi 7-3i b'58 biex tikseb\frac{7}{58}-\frac{3}{58}i.

$$Re(\frac{7}{58}-\frac{3}{58}i)$$

Il-parti reali ta' \frac{7}{58}-\frac{3}{58}i hija \frac{7}{58}.

$$\frac{7}{58}$$