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Popular >

simplify (8-i)/(5+i)

Solution

simplify

\frac{8 - i}{5 + i}

Solution

\frac{3}{2} - \frac{1}{2} i

Solution steps

\frac{8 - i}{5 + i}

Multiply by the conjugate

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

= \frac{( 8 - i ) ( 5 - i )}{( 5 + i ) ( 5 - i )}

Simplify

\frac{( 8 - i ) ( 5 - i )}{( 5 + i ) ( 5 - i )} : \frac{39 - 13 i}{26}

= \frac{39 - 13 i}{26}

Apply the fraction rule:

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

= \frac{39}{26} + \frac{- 13}{26} i

Simplify

\frac{39}{26} + \frac{- 13}{26} i : \frac{3}{2} - \frac{1}{2} i

= \frac{3}{2} - \frac{1}{2} i

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Frequently Asked Questions (FAQ)

What is (8-i)/(5+i) ?
The solution to (8-i)/(5+i) is 3/2-1/2 i