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Popular >

simplify 1/(4-i)

Solution

simplify

\frac{1}{4 - i}

Solution

\frac{4}{17} + \frac{1}{17} i

Solution steps

\frac{1}{4 - i}

Multiply by the conjugate

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

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

Simplify

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

= \frac{4 + i}{17}

Rewrite in standard complex form:

\frac{4}{17} + \frac{1}{17} i

= \frac{4}{17} + \frac{1}{17} i

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\frac{x}{9} + \frac{1}{3} = \frac{5}{18}

Frequently Asked Questions (FAQ)

What is 1/(4-i) ?
The solution to 1/(4-i) is 4/17+1/17 i