What is (10-5i)/(6+2i) ?

The solution to (10-5i)/(6+2i) is 5/4-5/4 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10-5i)/(6+2i)

simplify

\frac{10 - 5 i}{6 + 2 i}

\frac{5}{4} - \frac{5}{4} i

Solution steps

\frac{10 - 5 i}{6 + 2 i}

Multiply by the conjugate

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

= \frac{( 10 - 5 i ) ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )}

Simplify

\frac{( 10 - 5 i ) ( 6 - 2 i )}{( 6 + 2 i ) ( 6 - 2 i )} : \frac{50 - 50 i}{40}

= \frac{50 - 50 i}{40}

Apply the fraction rule:

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

= \frac{50}{40} + \frac{- 50}{40} i

Simplify

\frac{50}{40} + \frac{- 50}{40} i : \frac{5}{4} - \frac{5}{4} i

= \frac{5}{4} - \frac{5}{4} i

8 - ∣ 3 x + 2 ∣ = 3

\frac{2 x - 1}{3} - \frac{3 x}{4} = \frac{5}{6}

\frac{7}{4} - \frac{7}{12}

7 x - 2 x - x > 24 + 3 x

\frac{x + 2}{x - 3} \leq 5