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Popular >

simplify (41)/(4+5i)

Solution

simplify

\frac{41}{4 + 5 i}

Solution

4 - 5 i

Solution steps

\frac{41}{4 + 5 i}

Multiply by the conjugate

\frac{4 - 5 i}{4 - 5 i}

= \frac{41 ( 4 - 5 i )}{( 4 + 5 i ) ( 4 - 5 i )}

Simplify

\frac{41 ( 4 - 5 i )}{( 4 + 5 i ) ( 4 - 5 i )} : \frac{164 - 205 i}{41}

= \frac{164 - 205 i}{41}

Apply the fraction rule:

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

= \frac{164}{41} + \frac{- 205}{41} i

Simplify

\frac{164}{41} + \frac{- 205}{41} i : 4 - 5 i

= 4 - 5 i

Popular Examples

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factor (x+17)^2+x+17 factor

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Frequently Asked Questions (FAQ)

What is (41)/(4+5i) ?
The solution to (41)/(4+5i) is 4-5i