What is (2+3i)/(5-i) ?

The solution to (2+3i)/(5-i) is 7/26+17/26 i

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simplify (2+3i)/(5-i)

simplify

\frac{2 + 3 i}{5 - i}

\frac{7}{26} + \frac{17}{26} i

Solution steps

\frac{2 + 3 i}{5 - i}

Multiply by the conjugate

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

= \frac{( 2 + 3 i ) ( 5 + i )}{( 5 - i ) ( 5 + i )}

Simplify

\frac{( 2 + 3 i ) ( 5 + i )}{( 5 - i ) ( 5 + i )} : \frac{7 + 17 i}{26}

= \frac{7 + 17 i}{26}

Rewrite in standard complex form:

\frac{7}{26} + \frac{17}{26} i

= \frac{7}{26} + \frac{17}{26} i

0.0121

0.0169

\frac{x}{2} + \frac{3}{2}

8 a b^{5} 27 a^{7} b

\frac{1}{4} - \frac{1}{25}