thinker86 said:
Simplify the following complex number by writing it in the form a + bi where a and b are real numbers.
100/(3-4i)
I am completely stuck.
\(\displaystyle \frac{a\, + \, ib}{c\, + \, id}\)
\(\displaystyle = \, \frac{a\, + \, ib}{c\, + \, id}\cdot\frac{c\, - \, id}{c\, - \, id}\)
\(\displaystyle =\, \frac{(ac \, + \, bd)\, + \, i(bc \, - ad)}{c^2\, + \, d^2}\)
\(\displaystyle =\, \frac{ac \, + \, bd}{c^2\, + \, d^2}\, + \, i\cdot \frac{bc \, - ad}{c^2\, + \, d^2}\)