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Popular >

simplify 5/(1-i)

Solution

simplify

\frac{5}{1 - i}

Solution

\frac{5}{2} + \frac{5}{2} i

Solution steps

\frac{5}{1 - i}

Multiply by the conjugate

\frac{1 + i}{1 + i}

= \frac{5 ( 1 + i )}{( 1 - i ) ( 1 + i )}

Simplify

\frac{5 ( 1 + i )}{( 1 - i ) ( 1 + i )} : \frac{5 + 5 i}{2}

= \frac{5 + 5 i}{2}

Rewrite in standard complex form:

\frac{5}{2} + \frac{5}{2} i

= \frac{5}{2} + \frac{5}{2} i

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Frequently Asked Questions (FAQ)

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