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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

lo g_{\frac{1}{10}} (x)

(- 11)^{2}

\frac{x ^{2} - 6 x + 9}{x - 3}

s (s + 2)

lo g_{8} (16) - lo g_{8} (2)