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

The solution to (5+3i)/(4-2i) is 7/10+11/10 i

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

simplify

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

\frac{7}{10} + \frac{11}{10} i

Solution steps

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

Multiply by the conjugate

\frac{4 + 2 i}{4 + 2 i}

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

Simplify

\frac{( 5 + 3 i ) ( 4 + 2 i )}{( 4 - 2 i ) ( 4 + 2 i )} : \frac{14 + 22 i}{20}

= \frac{14 + 22 i}{20}

Apply the fraction rule:

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

= \frac{14}{20} + \frac{22}{20} i

Simplify

\frac{14}{20} + \frac{22}{20} i : \frac{7}{10} + \frac{11}{10} i

= \frac{7}{10} + \frac{11}{10} i

(x - \frac{1}{4})^{2}

3.6

(3 - x) (2 - x)

(1 + 3 i)^{3}

\frac{2}{3} \times \frac{1}{2}