What is ((6-7i))/((4-5i)) ?

The solution to ((6-7i))/((4-5i)) is 59/41+2/41 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((6-7i))/((4-5i))

simplify

\frac{( 6 - 7 i )}{( 4 - 5 i )}

\frac{59}{41} + \frac{2}{41} i

Solution steps

\frac{6 - 7 i}{4 - 5 i}

Multiply by the conjugate

\frac{4 + 5 i}{4 + 5 i}

= \frac{( 6 - 7 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )}

Simplify

\frac{( 6 - 7 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )} : \frac{59 + 2 i}{41}

= \frac{59 + 2 i}{41}

Rewrite in standard complex form:

\frac{59}{41} + \frac{2}{41} i

= \frac{59}{41} + \frac{2}{41} i

x^{2} - 30 - x = 0

x^{4} - x^{3} - 13 x^{2} + 25 x - 12

\frac{x + 6}{x - 1} > 0

x^{4} + x^{2} - 72

3 - 49