What is (7-i)/(2+3i) ?

The solution to (7-i)/(2+3i) is 11/13-23/13 i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7-i)/(2+3i)

simplify

\frac{7 - i}{2 + 3 i}

\frac{11}{13} - \frac{23}{13} i

Solution steps

\frac{7 - i}{2 + 3 i}

Multiply by the conjugate

\frac{2 - 3 i}{2 - 3 i}

= \frac{( 7 - i ) ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )}

Simplify

\frac{( 7 - i ) ( 2 - 3 i )}{( 2 + 3 i ) ( 2 - 3 i )} : \frac{11 - 23 i}{13}

= \frac{11 - 23 i}{13}

Rewrite in standard complex form:

\frac{11}{13} - \frac{23}{13} i

= \frac{11}{13} - \frac{23}{13} i

17 \times 6

3 \cdot (- \frac{2}{3})

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

\frac{x ^{2}}{16} - \frac{30}{4} x + 225

x^{4} - x^{3} - 3 x^{2} + x + 2