What is (5-2i)/(3+4i) ?

The solution to (5-2i)/(3+4i) is 7/25-26/25 i

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simplify (5-2i)/(3+4i)

simplify

\frac{5 - 2 i}{3 + 4 i}

\frac{7}{25} - \frac{26}{25} i

Solution steps

\frac{5 - 2 i}{3 + 4 i}

Multiply by the conjugate

\frac{3 - 4 i}{3 - 4 i}

= \frac{( 5 - 2 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )}

Simplify

\frac{( 5 - 2 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{7 - 26 i}{25}

= \frac{7 - 26 i}{25}

Rewrite in standard complex form:

\frac{7}{25} - \frac{26}{25} i

= \frac{7}{25} - \frac{26}{25} i

9 x + 9

\frac{1}{2 x ^{2} - 7 x + 6}

lo g_{15} (3375)

\frac{1}{5} \div \frac{15}{4}

\frac{20 x ^{3} y ^{5}}{50 x ^{2} y ^{3}}