Question

Perform all operations and express your answer in a + bi form.
7 over 9 + i

Answer 1

Multiply numerator and denominator by the complex conjugate of 9+i (which is 9-i) to get


\[\frac{7(9-i)}{(9+i)(9-i)}\]


\[\frac{63-7i}{82}\]


So \[\frac{7(9-i)}{(9+i)(9-i)}=\frac{63-7i}{82}\]