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Popular >

simplify 2/(9-i)

Solution

simplify

\frac{2}{9 - i}

Solution

\frac{9}{41} + \frac{1}{41} i

Solution steps

\frac{2}{9 - i}

Multiply by the conjugate

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

= \frac{2 ( 9 + i )}{( 9 - i ) ( 9 + i )}

Simplify

\frac{2 ( 9 + i )}{( 9 - i ) ( 9 + i )} : \frac{18 + 2 i}{82}

= \frac{18 + 2 i}{82}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{18}{82} + \frac{2}{82} i

Simplify

\frac{18}{82} + \frac{2}{82} i : \frac{9}{41} + \frac{1}{41} i

= \frac{9}{41} + \frac{1}{41} i

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Frequently Asked Questions (FAQ)

What is 2/(9-i) ?
The solution to 2/(9-i) is 9/41+1/41 i