What is ((5+2i)+(4-i))/(6+5i) ?

The solution to ((5+2i)+(4-i))/(6+5i) is 59/61-39/61 i

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simplify ((5+2i)+(4-i))/(6+5i)

simplify

\frac{( 5 + 2 i ) + ( 4 - i )}{6 + 5 i}

\frac{59}{61} - \frac{39}{61} i

Solution steps

\frac{( 5 + 2 i ) + ( 4 - i )}{6 + 5 i}

Multiply by the conjugate

\frac{6 - 5 i}{6 - 5 i}

= \frac{( 5 + 2 i + 4 - i ) ( 6 - 5 i )}{( 6 + 5 i ) ( 6 - 5 i )}

Simplify

\frac{( 5 + 2 i + 4 - i ) ( 6 - 5 i )}{( 6 + 5 i ) ( 6 - 5 i )} : \frac{59 - 39 i}{61}

= \frac{59 - 39 i}{61}

Rewrite in standard complex form:

\frac{59}{61} - \frac{39}{61} i

= \frac{59}{61} - \frac{39}{61} i

- 20 - 20

(2 a^{3} - 5 b^{4})^{2}

\frac{( x - 1 )}{x}

(x + 4) (x + 1) (2 x - 3) (x - 1)

20 x^{2} - 45

What is ((5+2i)+(4-i))/(6+5i) ?
The solution to ((5+2i)+(4-i))/(6+5i) is 59/61-39/61 i