What is (5-12i)/(2i-3) ?

The solution to (5-12i)/(2i-3) is -3+2i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5-12i)/(2i-3)

simplify

\frac{5 - 12 i}{2 i - 3}

- 3 + 2 i

Solution steps

\frac{5 - 12 i}{2 i - 3}

Rewrite

2 i - 3

in standard complex form:

- 3 + 2 i

= \frac{5 - 12 i}{- 3 + 2 i}

Multiply by the conjugate

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

= \frac{( 5 - 12 i ) ( - 3 - 2 i )}{( - 3 + 2 i ) ( - 3 - 2 i )}

Simplify

\frac{( 5 - 12 i ) ( - 3 - 2 i )}{( - 3 + 2 i ) ( - 3 - 2 i )} : \frac{- 39 + 26 i}{13}

= \frac{- 39 + 26 i}{13}

Apply the fraction rule:

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

= \frac{- 39}{13} + \frac{26}{13} i

Simplify

\frac{- 39}{13} + \frac{26}{13} i : - 3 + 2 i

= - 3 + 2 i

\frac{1}{5 - 2}

v^{2} = 2

3 x^{2} - 5 x + 3 = 0

lo g_{2} (4) = x

\frac{1}{8} \cdot \frac{1}{4}