What is (2-5i)/(4+3i) ?

The solution to (2-5i)/(4+3i) is -7/25-26/25 i

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simplify (2-5i)/(4+3i)

simplify

\frac{2 - 5 i}{4 + 3 i}

- \frac{7}{25} - \frac{26}{25} i

Solution steps

\frac{2 - 5 i}{4 + 3 i}

Multiply by the conjugate

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

= \frac{( 2 - 5 i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )}

Simplify

\frac{( 2 - 5 i ) ( 4 - 3 i )}{( 4 + 3 i ) ( 4 - 3 i )} : \frac{- 7 - 26 i}{25}

= \frac{- 7 - 26 i}{25}

Apply the fraction rule:

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

= \frac{- 7}{25} + \frac{- 26}{25} i

Simplify

\frac{- 7}{25} + \frac{- 26}{25} i : - \frac{7}{25} - \frac{26}{25} i

= - \frac{7}{25} - \frac{26}{25} i

3 (\frac{3}{20})^{\frac{1}{3}} - 5 (\frac{3}{20})^{\frac{4}{3}}

(2 c d^{4})^{2} (c d)^{5}

\frac{3 x - 4}{x + 4} < 7

1 - 16 y^{2}

8 x^{2} - 16 x + 8 = 0