What is (10i)/(4+2i) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (10i)/(4+2i)

simplify

\frac{10 i}{4 + 2 i}

1 + 2 i

Solution steps

\frac{10 i}{4 + 2 i}

Multiply by the conjugate

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

= \frac{10 i ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )}

Simplify

\frac{10 i ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )} : \frac{40 i + 20}{20}

= \frac{40 i + 20}{20}

Rewrite in standard complex form:

1 + 2 i

= 1 + 2 i

lo g_{b} (\frac{x ^{2} y}{z ^{8}})

450

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

9 x^{2} + 6 x + 2 = 0

29 x - 11 = 15 x + 45