simplify (13)/(1-i)

Solution

simplify

\frac{13}{1 - i}

\frac{13}{2} + \frac{13}{2} i

Solution steps

\frac{13}{1 - i}

Multiply by the conjugate

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

= \frac{13 ( 1 + i )}{( 1 - i ) ( 1 + i )}

Simplify

\frac{13 ( 1 + i )}{( 1 - i ) ( 1 + i )} : \frac{13 + 13 i}{2}

= \frac{13 + 13 i}{2}

Rewrite in standard complex form:

\frac{13}{2} + \frac{13}{2} i

= \frac{13}{2} + \frac{13}{2} i

\frac{x ^{2} - x - 42}{x ^{2} - 49}

(x - 3) (x - 2)

6 z - 4 z + 2 z

\frac{a - b}{a b - b a}