Question

Find x and y. Remember that a + bi = c + di exactly when a = c and b = d. 8 = (4+8i)(x+yi)

Answer 1

\[x+yi = \frac{8}{4+8i}\]\[x+yi=\frac{2}{1+2i}\]\[x+yi=\frac{2}{1+2i} \times \frac{1-2i}{1-2i}\]\[x+yi=\frac{2-4i}{5}\]\[x+yi=\frac{2}{4}-\frac{4}{5}i\]

Answer 2

one mistake
last step
\[x+yi=\frac{2}{5} - \frac{4}{5}i\]

Answer 3

\[x=\frac{2}{5}\]\[y=\frac{-4}{5}\]

Answer 4

wolfram says .... agree !

http://www.wolframalpha.com/input/?i=8+%3D+%284%2B8i%29*X

Answer 5

yaaay x)