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

The solution to (5+7i)/(5+2i) is 39/29+25/29 i

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

simplify

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

\frac{39}{29} + \frac{25}{29} i

Solution steps

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

Multiply by the conjugate

\frac{5 - 2 i}{5 - 2 i}

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

Simplify

\frac{( 5 + 7 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{39 + 25 i}{29}

= \frac{39 + 25 i}{29}

Rewrite in standard complex form:

\frac{39}{29} + \frac{25}{29} i

= \frac{39}{29} + \frac{25}{29} i

8 a^{3} b c - 12 a b^{3} c d + 4 b^{4} c^{2} d^{2}

4 \cdot 8

lo g_{4} (- 4)

\frac{5}{2} + \frac{3}{2}

(\frac{7}{15})^{6}