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

\frac{7}{100}

\frac{2 ^{21}}{2 ^{24}}

\frac{x ^{3} + x - 2 x ^{2} y - 2 y}{x ^{2} y + x ^{2} + y + 1}

e^{x l n (a)}

(5 x - 3) (7 x - 4)