What is (3+7i)/(6-5i) ?

The solution to (3+7i)/(6-5i) is -17/61+57/61 i

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simplify (3+7i)/(6-5i)

simplify

\frac{3 + 7 i}{6 - 5 i}

- \frac{17}{61} + \frac{57}{61} i

Solution steps

\frac{3 + 7 i}{6 - 5 i}

Multiply by the conjugate

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

= \frac{( 3 + 7 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )}

Simplify

\frac{( 3 + 7 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )} : \frac{- 17 + 57 i}{61}

= \frac{- 17 + 57 i}{61}

Rewrite in standard complex form:

- \frac{17}{61} + \frac{57}{61} i

= - \frac{17}{61} + \frac{57}{61} i

- 13 \cdot 4

(v)^{3}

\frac{2}{( - \frac{1}{x} ) ^{2} - 7}

x^{4} - 49 x^{2}

\frac{9 + i}{- 7 i}