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

The solution to (7-3i)/(4+2i) is 11/10-13/10 i

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

simplify

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

\frac{11}{10} - \frac{13}{10} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 7 - 3 i ) ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )} : \frac{22 - 26 i}{20}

= \frac{22 - 26 i}{20}

Apply the fraction rule:

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

= \frac{22}{20} + \frac{- 26}{20} i

Simplify

\frac{22}{20} + \frac{- 26}{20} i : \frac{11}{10} - \frac{13}{10} i

= \frac{11}{10} - \frac{13}{10} i

45 t^{2} - 72 t + 24

\frac{( 6370 + h ) ^{2}}{6370} = \frac{625}{576}

- 2 q - 3 = - 2 (2 q + 1)

4.84 = 17.1 r^{2}

3^{15}