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Popular >

simplify (17)/(4+i)

Solution

simplify

\frac{17}{4 + i}

Solution

4 - i

Solution steps

\frac{17}{4 + i}

Multiply by the conjugate

\frac{4 - i}{4 - i}

= \frac{17 ( 4 - i )}{( 4 + i ) ( 4 - i )}

Simplify

\frac{17 ( 4 - i )}{( 4 + i ) ( 4 - i )} : \frac{68 - 17 i}{17}

= \frac{68 - 17 i}{17}

Apply the fraction rule:

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

= \frac{68}{17} + \frac{- 17}{17} i

Simplify

\frac{68}{17} + \frac{- 17}{17} i : 4 - i

= 4 - i

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Frequently Asked Questions (FAQ)

What is (17)/(4+i) ?
The solution to (17)/(4+i) is 4-i