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Popular >

simplify 9/(9+i)

Solution

simplify

\frac{9}{9 + i}

Solution

\frac{81}{82} - \frac{9}{82} i

Solution steps

\frac{9}{9 + i}

Multiply by the conjugate

\frac{9 - i}{9 - i}

= \frac{9 ( 9 - i )}{( 9 + i ) ( 9 - i )}

Simplify

\frac{9 ( 9 - i )}{( 9 + i ) ( 9 - i )} : \frac{81 - 9 i}{82}

= \frac{81 - 9 i}{82}

Rewrite in standard complex form:

\frac{81}{82} - \frac{9}{82} i

= \frac{81}{82} - \frac{9}{82} i

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Frequently Asked Questions (FAQ)

What is 9/(9+i) ?
The solution to 9/(9+i) is 81/82-9/82 i