What is (5-2i)/(4+7i) ?

The solution to (5-2i)/(4+7i) is 6/65-43/65 i

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simplify (5-2i)/(4+7i)

simplify

\frac{5 - 2 i}{4 + 7 i}

\frac{6}{65} - \frac{43}{65} i

Solution steps

\frac{5 - 2 i}{4 + 7 i}

Multiply by the conjugate

\frac{4 - 7 i}{4 - 7 i}

= \frac{( 5 - 2 i ) ( 4 - 7 i )}{( 4 + 7 i ) ( 4 - 7 i )}

Simplify

\frac{( 5 - 2 i ) ( 4 - 7 i )}{( 4 + 7 i ) ( 4 - 7 i )} : \frac{6 - 43 i}{65}

= \frac{6 - 43 i}{65}

Rewrite in standard complex form:

\frac{6}{65} - \frac{43}{65} i

= \frac{6}{65} - \frac{43}{65} i

(3 x - 1)^{3} + 1

(x + 4) (x + 2) - (x + 1) (x + 5)

3 729 x^{18}

3 x^{2} y + 2 x^{2} - 12 y - 8

\frac{1}{x + 4} - \frac{1}{4}