Question 132961
*[Tex \LARGE \frac{2-3i}{5-4i}] Start with the given expression


*[Tex \LARGE \left(\frac{2-3i}{5-4i}\right)\left(\frac{5+4i}{5+4i}\right)] Multiply the fraction by *[Tex \LARGE \frac{5+4i}{5+4i}]


*[Tex \LARGE \frac{22-7i}{41}] Foil and Multiply



*[Tex \LARGE \frac{22}{41}-\frac{7}{41}i] Break up the fraction. So it is now in {{{a+bi}}} form where {{{a=22/41}}} and {{{b=-7/41}}}