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

The solution to (3+2i)/(3-2i) is 5/13+12/13 i

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

simplify

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

\frac{5}{13} + \frac{12}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{12 i + 5}{13}

= \frac{12 i + 5}{13}

Rewrite in standard complex form:

\frac{5}{13} + \frac{12}{13} i

= \frac{5}{13} + \frac{12}{13} i

r (\frac{1}{2})

23 x^{13}

w^{4} w^{8}

(y - 2) (y - 2)