en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6/(5-i)

Solution

simplify

\frac{6}{5 - i}

Solution

\frac{15}{13} + \frac{3}{13} i

Solution steps

\frac{6}{5 - i}

Multiply by the conjugate

\frac{5 + i}{5 + i}

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

Simplify

\frac{6 ( 5 + i )}{( 5 - i ) ( 5 + i )} : \frac{30 + 6 i}{26}

= \frac{30 + 6 i}{26}

Apply the fraction rule:

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

= \frac{30}{26} + \frac{6}{26} i

Simplify

\frac{30}{26} + \frac{6}{26} i : \frac{15}{13} + \frac{3}{13} i

= \frac{15}{13} + \frac{3}{13} i

Popular Examples

x^{2} - 2 x - 3 > 0

factor n^2-4n+3 factor

n^{2} - 4 n + 3

- 3 (3 x - 8) = 3 x

factor x^9-y^9 factor

x^{9} - y^{9}

simplify (7((16(2)^3)-2))/(5^{4/5)}simplify

\frac{7 ( ( 16 ( 2 ) ^{3} ) - 2 )}{5 ^{\frac{4}{5}}}

Frequently Asked Questions (FAQ)

What is 6/(5-i) ?
The solution to 6/(5-i) is 15/13+3/13 i