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

x^{2} + 8 x + 16 < 0

\frac{1 - 3}{1 + 3}

8 - 4 (2 - x) \geq - 2 x

\frac{1.5 \cdot 1 0 ^{- 7}}{1.8 \cdot 1 0 ^{- 8}}

6 x + 8 = 3 x + 4