What is (25+19i)/(5-3i) ?

The solution to (25+19i)/(5-3i) is 2+5i

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simplify (25+19i)/(5-3i)

simplify

\frac{25 + 19 i}{5 - 3 i}

2 + 5 i

Solution steps

\frac{25 + 19 i}{5 - 3 i}

Multiply by the conjugate

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

= \frac{( 25 + 19 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )}

Simplify

\frac{( 25 + 19 i ) ( 5 + 3 i )}{( 5 - 3 i ) ( 5 + 3 i )} : \frac{68 + 170 i}{34}

= \frac{68 + 170 i}{34}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{68}{34} + \frac{170}{34} i

Simplify

\frac{68}{34} + \frac{170}{34} i : 2 + 5 i

= 2 + 5 i

\frac{5}{15} \cdot 100

- \frac{1}{2} + 1

(- 2 i)^{5}

p^{2} = - 16

- \frac{\frac{3}{5}}{( - \frac{9}{10} )}