What is (2+3i)/(6-2i) ?

The solution to (2+3i)/(6-2i) is 3/20+11/20 i

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simplify (2+3i)/(6-2i)

simplify

\frac{2 + 3 i}{6 - 2 i}

\frac{3}{20} + \frac{11}{20} i

Solution steps

\frac{2 + 3 i}{6 - 2 i}

Multiply by the conjugate

\frac{6 + 2 i}{6 + 2 i}

= \frac{( 2 + 3 i ) ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )}

Simplify

\frac{( 2 + 3 i ) ( 6 + 2 i )}{( 6 - 2 i ) ( 6 + 2 i )} : \frac{6 + 22 i}{40}

= \frac{6 + 22 i}{40}

Apply the fraction rule:

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

= \frac{6}{40} + \frac{22}{40} i

Simplify

\frac{6}{40} + \frac{22}{40} i : \frac{3}{20} + \frac{11}{20} i

= \frac{3}{20} + \frac{11}{20} i

7 + (- 8)

(5 - 3 x)^{2}

(3 x^{5} - 2 x^{4} - 5) - (2 x^{4} + x^{2} - 10)

\frac{81}{27}

0^{10}