What is (5+6i)/(5-6i) ?

The solution to (5+6i)/(5-6i) is -11/61+60/61 i

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simplify (5+6i)/(5-6i)

simplify

\frac{5 + 6 i}{5 - 6 i}

- \frac{11}{61} + \frac{60}{61} i

Solution steps

\frac{5 + 6 i}{5 - 6 i}

Multiply by the conjugate

\frac{5 + 6 i}{5 + 6 i}

= \frac{( 5 + 6 i ) ( 5 + 6 i )}{( 5 - 6 i ) ( 5 + 6 i )}

Simplify

\frac{( 5 + 6 i ) ( 5 + 6 i )}{( 5 - 6 i ) ( 5 + 6 i )} : \frac{60 i - 11}{61}

= \frac{60 i - 11}{61}

Rewrite in standard complex form:

- \frac{11}{61} + \frac{60}{61} i

= - \frac{11}{61} + \frac{60}{61} i

\frac{9}{2} + \frac{11}{4}

(\frac{5 a ^{- 7} b ^{2}}{a b ^{- 6}})^{- 3}

- 3 (y + 3) = 2 y + 3

\frac{m}{3} - 2 = 2

(- 8)^{- 3}