What is (5i)/(3+2i) ?

The solution to (5i)/(3+2i) is 10/13+15/13 i

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simplify (5i)/(3+2i)

simplify

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

\frac{10}{13} + \frac{15}{13} i

Solution steps

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

Multiply by the conjugate

\frac{3 - 2 i}{3 - 2 i}

= \frac{5 i ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )}

Simplify

\frac{5 i ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{15 i + 10}{13}

= \frac{15 i + 10}{13}

Rewrite in standard complex form:

\frac{10}{13} + \frac{15}{13} i

= \frac{10}{13} + \frac{15}{13} i

0 = - 6 p^{2} + 12000 p

827

8 x^{2} + 10 x - 3

17 a x + 17 a - x - 1