What is (3+2i)/(8-7i) ?

The solution to (3+2i)/(8-7i) is 10/113+37/113 i

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simplify (3+2i)/(8-7i)

simplify

\frac{3 + 2 i}{8 - 7 i}

\frac{10}{113} + \frac{37}{113} i

Solution steps

\frac{3 + 2 i}{8 - 7 i}

Multiply by the conjugate

\frac{8 + 7 i}{8 + 7 i}

= \frac{( 3 + 2 i ) ( 8 + 7 i )}{( 8 - 7 i ) ( 8 + 7 i )}

Simplify

\frac{( 3 + 2 i ) ( 8 + 7 i )}{( 8 - 7 i ) ( 8 + 7 i )} : \frac{10 + 37 i}{113}

= \frac{10 + 37 i}{113}

Rewrite in standard complex form:

\frac{10}{113} + \frac{37}{113} i

= \frac{10}{113} + \frac{37}{113} i

\frac{2}{3 x ^{2} - 10 x - 8} + \frac{1}{x - 4}

2 x \times 3

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

(1 - 2 x)^{5}

60 \div 15