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Popular >

simplify (13)/(5-i)

Solution

simplify

\frac{13}{5 - i}

Solution

\frac{5}{2} + \frac{1}{2} i

Solution steps

\frac{13}{5 - i}

Multiply by the conjugate

\frac{5 + i}{5 + i}

= \frac{13 ( 5 + i )}{( 5 - i ) ( 5 + i )}

Simplify

\frac{13 ( 5 + i )}{( 5 - i ) ( 5 + i )} : \frac{65 + 13 i}{26}

= \frac{65 + 13 i}{26}

Apply the fraction rule:

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

= \frac{65}{26} + \frac{13}{26} i

Simplify

\frac{65}{26} + \frac{13}{26} i : \frac{5}{2} + \frac{1}{2} i

= \frac{5}{2} + \frac{1}{2} i

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Frequently Asked Questions (FAQ)

What is (13)/(5-i) ?
The solution to (13)/(5-i) is 5/2+1/2 i