What is (104i)/(5+i) ?

The solution to (104i)/(5+i) is 4+20i

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simplify (104i)/(5+i)

simplify

\frac{104 i}{5 + i}

4 + 20 i

Solution steps

\frac{104 i}{5 + i}

Multiply by the conjugate

\frac{5 - i}{5 - i}

= \frac{104 i ( 5 - i )}{( 5 + i ) ( 5 - i )}

Simplify

\frac{104 i ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{520 i + 104}{26}

= \frac{520 i + 104}{26}

Rewrite in standard complex form:

4 + 20 i

= 4 + 20 i

3 e^{x^{2}} - 1 > 73

3 m + (m + 5)

\frac{7}{6} - \frac{1}{6}

12 x^{2} - 4 x - 5

(x - 2) (x + 2) < 5