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

The solution to (4+3i)/(5-3i) is 11/34+27/34 i

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

simplify

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

\frac{11}{34} + \frac{27}{34} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + 3 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{11 + 27 i}{34}

= \frac{11 + 27 i}{34}

Rewrite in standard complex form:

\frac{11}{34} + \frac{27}{34} i

= \frac{11}{34} + \frac{27}{34} i

\frac{sec ( θ )}{cos ( θ )} - \frac{tan ( θ )}{cot ( θ )}

16 \cdot 4

(- c)^{4}

lo g_{10} (1.7)

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