Question

Medal and Fan! I need help with imaginary numbers

Answer 1

okayyy

Answer 2

z= 1 + 2i w= 1 - 3i
Show that \[\frac{ w }{ z }=-1-i\]

Answer 3

\[i^2 = -1\]
the conjugate of a+bi = a - bi

For these problems, you need to multiply fraction by conjugate of denominator
\[\rightarrow \frac{(1-3i)}{(1+2i)}*\frac{(1-2i)}{(1-2i)}\]
Now distribute... the i"s should cancel in denominator
\[= \frac{1-5i +6i^2}{1 - 4i^2}\]
simplify by replacing i^2 with -1
\[= \frac{-5 -5i}{5}\]
Factor out a 5
\[= -1 - i\]

Answer 4

thank you so much

Answer 5

yw

Answer 6

um yeah wat he said XD