What is (2+3i)/(4-2i) ?

The solution to (2+3i)/(4-2i) is 1/10+4/5 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2+3i)/(4-2i)

simplify

\frac{2 + 3 i}{4 - 2 i}

\frac{1}{10} + \frac{4}{5} i

Solution steps

\frac{2 + 3 i}{4 - 2 i}

Multiply by the conjugate

\frac{4 + 2 i}{4 + 2 i}

= \frac{( 2 + 3 i ) ( 4 + 2 i )}{( 4 - 2 i ) ( 4 + 2 i )}

Simplify

\frac{( 2 + 3 i ) ( 4 + 2 i )}{( 4 - 2 i ) ( 4 + 2 i )} : \frac{2 + 16 i}{20}

= \frac{2 + 16 i}{20}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{2}{20} + \frac{16}{20} i

Simplify

\frac{2}{20} + \frac{16}{20} i : \frac{1}{10} + \frac{4}{5} i

= \frac{1}{10} + \frac{4}{5} i

3 (2 x - 7) = 3

\frac{10}{2}

6 - 4 x = 18

(3 x)^{\frac{3}{4}}

5 x^{2} - 36 x + 7