Question 120429

*[Tex \LARGE \frac{1}{4-7i}] Start with the given expression


*[Tex \LARGE \left(\frac{1}{4-7i}\right)\left(\frac{4+7i}{4+7i}\right)] Multiply the fraction by *[Tex \LARGE \frac{4+7i}{4+7i}]


*[Tex \LARGE \frac{4+7i}{65}] Foil and Multiply



*[Tex \LARGE \frac{4}{65}+\frac{7}{65}i] Break up the fraction. So it is now in {{{a+bi}}} form where {{{a=4/65}}} and {{{b=7/65}}}