en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(5-12i)

Solution

simplify

\frac{1}{5 - 12 i}

Solution

\frac{5}{169} + \frac{12}{169} i

Solution steps

\frac{1}{5 - 12 i}

Multiply by the conjugate

\frac{5 + 12 i}{5 + 12 i}

= \frac{1 \cdot ( 5 + 12 i )}{( 5 - 12 i ) ( 5 + 12 i )}

Simplify

\frac{1 \cdot ( 5 + 12 i )}{( 5 - 12 i ) ( 5 + 12 i )} : \frac{5 + 12 i}{169}

= \frac{5 + 12 i}{169}

Rewrite in standard complex form:

\frac{5}{169} + \frac{12}{169} i

= \frac{5}{169} + \frac{12}{169} i

Popular Examples

simplify (x/3-1/(2x^2))^2 simplify

(\frac{x}{3} - \frac{1}{2 x ^{2}})^{2}

factor x^4+7x^2-18 factor

x^{4} + 7 x^{2} - 18

factor-3x^2-12x+15 factor

- 3 x^{2} - 12 x + 15

\frac{24}{13}

simplify sqrt(64+9)simplify

64 + 9

Frequently Asked Questions (FAQ)

What is 1/(5-12i) ?
The solution to 1/(5-12i) is 5/169+12/169 i