What is (19-4i)/(2-5i) ?

The solution to (19-4i)/(2-5i) is 2+3i

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simplify (19-4i)/(2-5i)

simplify

\frac{19 - 4 i}{2 - 5 i}

2 + 3 i

Solution steps

\frac{19 - 4 i}{2 - 5 i}

Multiply by the conjugate

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

= \frac{( 19 - 4 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )}

Simplify

\frac{( 19 - 4 i ) ( 2 + 5 i )}{( 2 - 5 i ) ( 2 + 5 i )} : \frac{58 + 87 i}{29}

= \frac{58 + 87 i}{29}

Apply the fraction rule:

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

= \frac{58}{29} + \frac{87}{29} i

Simplify

\frac{58}{29} + \frac{87}{29} i : 2 + 3 i

= 2 + 3 i

10 x + 15 y

\frac{3}{5} \div \frac{3}{2}

x^{2} + 17 x

5^{4} \cdot 5^{8}

- 17 \cdot - 17