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Popular >

simplify 5/(9-i)

Solution

simplify

\frac{5}{9 - i}

Solution

\frac{45}{82} + \frac{5}{82} i

Solution steps

\frac{5}{9 - i}

Multiply by the conjugate

\frac{9 + i}{9 + i}

= \frac{5 ( 9 + i )}{( 9 - i ) ( 9 + i )}

Simplify

\frac{5 ( 9 + i )}{( 9 - i ) ( 9 + i )} : \frac{45 + 5 i}{82}

= \frac{45 + 5 i}{82}

Rewrite in standard complex form:

\frac{45}{82} + \frac{5}{82} i

= \frac{45}{82} + \frac{5}{82} i

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Frequently Asked Questions (FAQ)

What is 5/(9-i) ?
The solution to 5/(9-i) is 45/82+5/82 i