What is (8+7i)/(5-8i) ?

The solution to (8+7i)/(5-8i) is -16/89+99/89 i

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simplify (8+7i)/(5-8i)

simplify

\frac{8 + 7 i}{5 - 8 i}

- \frac{16}{89} + \frac{99}{89} i

Solution steps

\frac{8 + 7 i}{5 - 8 i}

Multiply by the conjugate

\frac{5 + 8 i}{5 + 8 i}

= \frac{( 8 + 7 i ) ( 5 + 8 i )}{( 5 - 8 i ) ( 5 + 8 i )}

Simplify

\frac{( 8 + 7 i ) ( 5 + 8 i )}{( 5 - 8 i ) ( 5 + 8 i )} : \frac{- 16 + 99 i}{89}

= \frac{- 16 + 99 i}{89}

Rewrite in standard complex form:

- \frac{16}{89} + \frac{99}{89} i

= - \frac{16}{89} + \frac{99}{89} i

3 (\frac{1}{4})

x^{2} (2 x + 9)

(3 x + 1) (2 x^{2} + 9 x + 6)

\frac{5}{2} + \frac{3}{4}

4 t^{2} + 4