en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(1-5i)

Solution

simplify

\frac{1}{1 - 5 i}

Solution

\frac{1}{26} + \frac{5}{26} i

Solution steps

\frac{1}{1 - 5 i}

Multiply by the conjugate

\frac{1 + 5 i}{1 + 5 i}

= \frac{1 \cdot ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )}

Simplify

\frac{1 \cdot ( 1 + 5 i )}{( 1 - 5 i ) ( 1 + 5 i )} : \frac{1 + 5 i}{26}

= \frac{1 + 5 i}{26}

Rewrite in standard complex form:

\frac{1}{26} + \frac{5}{26} i

= \frac{1}{26} + \frac{5}{26} i

Popular Examples

factor 6k^3-9k^2 factor

6 k^{3} - 9 k^{2}

factor 1/2 x^{3+3x^{2+6x+5}}factor

\frac{1}{2} x^{3 + 3 x^{2 + 6 x + 5}}

simplify 7/4+15/4 simplify

\frac{7}{4} + \frac{15}{4}

factor (x+5)^3+(x-1)^3 factor

(x + 5)^{3} + (x - 1)^{3}

\frac{2 x - 4}{x + 3} > 0

Frequently Asked Questions (FAQ)

What is 1/(1-5i) ?
The solution to 1/(1-5i) is 1/26+5/26 i