What is (9i)/(-3+4i) ?

The solution to (9i)/(-3+4i) is 36/25-27/25 i

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simplify (9i)/(-3+4i)

simplify

\frac{9 i}{- 3 + 4 i}

\frac{36}{25} - \frac{27}{25} i

Solution steps

\frac{9 i}{- 3 + 4 i}

Multiply by the conjugate

\frac{- 3 - 4 i}{- 3 - 4 i}

= \frac{9 i ( - 3 - 4 i )}{( - 3 + 4 i ) ( - 3 - 4 i )}

Simplify

\frac{9 i ( - 3 - 4 i )}{( - 3 + 4 i ) ( - 3 - 4 i )} : \frac{- 27 i + 36}{25}

= \frac{- 27 i + 36}{25}

Rewrite in standard complex form:

\frac{36}{25} - \frac{27}{25} i

= \frac{36}{25} - \frac{27}{25} i

ln (1.6)

x^{2} - 1 + x^{2} - 16 = 4

8 x^{2} - 10 x + 15 = 0

- 2 x^{2} + 9 x + 5