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Popular >

simplify (1+4i)/(4-i)

Solution

simplify

\frac{1 + 4 i}{4 - i}

Solution

i

Solution steps

\frac{1 + 4 i}{4 - i}

Multiply by the conjugate

\frac{4 + i}{4 + i}

= \frac{( 1 + 4 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )}

Simplify

\frac{( 1 + 4 i ) ( 4 + i )}{( 4 - i ) ( 4 + i )} : \frac{17 i}{17}

= \frac{17 i}{17}

Cancel the common factor:

17

= i

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Frequently Asked Questions (FAQ)

What is (1+4i)/(4-i) ?
The solution to (1+4i)/(4-i) is i