What is (4-2i)/(7+3i) ?

The solution to (4-2i)/(7+3i) is 11/29-13/29 i

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simplify (4-2i)/(7+3i)

simplify

\frac{4 - 2 i}{7 + 3 i}

\frac{11}{29} - \frac{13}{29} i

Solution steps

\frac{4 - 2 i}{7 + 3 i}

Multiply by the conjugate

\frac{7 - 3 i}{7 - 3 i}

= \frac{( 4 - 2 i ) ( 7 - 3 i )}{( 7 + 3 i ) ( 7 - 3 i )}

Simplify

\frac{( 4 - 2 i ) ( 7 - 3 i )}{( 7 + 3 i ) ( 7 - 3 i )} : \frac{22 - 26 i}{58}

= \frac{22 - 26 i}{58}

Apply the fraction rule:

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

= \frac{22}{58} + \frac{- 26}{58} i

Simplify

\frac{22}{58} + \frac{- 26}{58} i : \frac{11}{29} - \frac{13}{29} i

= \frac{11}{29} - \frac{13}{29} i

15 x + 24 x + 13 x + 60 x

25 + 25

107 - 1063

\frac{1}{1} - \frac{1}{4}

f (x) + f (- x)