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

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

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

simplify

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

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

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + i ) ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )} : \frac{10 + 11 i}{13}

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

Rewrite in standard complex form:

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

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

\frac{3}{2} \cdot 6

500 \times e^{- 0.25 \times 10}

5 x (3 x^{4})

5 x^{2} (2 x)