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

The solution to (3+2i)/(4-i) is 10/17+11/17 i

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

simplify

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

\frac{10}{17} + \frac{11}{17} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 3 + 2 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{10 + 11 i}{17}

= \frac{10 + 11 i}{17}

Rewrite in standard complex form:

\frac{10}{17} + \frac{11}{17} i

= \frac{10}{17} + \frac{11}{17} i

\frac{4 \cdot 1 0 ^{- 12}}{6 \cdot 1 0 ^{4}}

x^{2} = - 72

4 g \geq 8

(- \frac{3 x ^{4}}{2 y ^{5}})^{- 3}

\frac{( 1 + i ) ^{17}}{( 1 - i ) ^{16}}