What is (1-2i)/(4+3i) ?

The solution to (1-2i)/(4+3i) is -2/25-11/25 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-2i)/(4+3i)

simplify

\frac{1 - 2 i}{4 + 3 i}

- \frac{2}{25} - \frac{11}{25} i

Solution steps

\frac{1 - 2 i}{4 + 3 i}

Multiply by the conjugate

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

= \frac{( 1 - 2 i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )}

Simplify

\frac{( 1 - 2 i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )} : \frac{- 2 - 11 i}{25}

= \frac{- 2 - 11 i}{25}

Apply the fraction rule:

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

= \frac{- 2}{25} + \frac{- 11}{25} i

Simplify

\frac{- 2}{25} + \frac{- 11}{25} i : - \frac{2}{25} - \frac{11}{25} i

= - \frac{2}{25} - \frac{11}{25} i

\frac{5}{2 x + 1} + \frac{8}{4 x + 2}

2 csc^{2} (x) - 2 csc (x) cot (x)

\frac{sin ( x ) cos ( x )}{tan ( x )}

(1 + i) (2 - 3 i)

23 \cdot 6