I need help with algebra 2. Complex numbers are my weakness. So, what are eight different complex numbers with absolute values of 10? I have |10i|, |-10i|, and |6-8i|
-
6 - 8i
6 + 8i
-6 + 8i
-6 - 8i
10 + 0i [yes, this counts as a complex number, even though it's a real number]
-10 + 0i
0+10i
0 - 10i
NOW it gets harder: how about
9 + i sqrt(19) and
9 - i sqrt(19)
Oh well, we didn't even have to do that, we have
8 + 6i
8 - 6i
-8 + 6i
-8 - 6i
6 + 8i
-6 + 8i
-6 - 8i
10 + 0i [yes, this counts as a complex number, even though it's a real number]
-10 + 0i
0+10i
0 - 10i
NOW it gets harder: how about
9 + i sqrt(19) and
9 - i sqrt(19)
Oh well, we didn't even have to do that, we have
8 + 6i
8 - 6i
-8 + 6i
-8 - 6i
-
For any angle,
10cos(angle) + 10sin(angle) * i
will have absolute value 10.
ie. choose 8 random angles, plug them in, and that's your complex number of abs 10.
10cos(angle) + 10sin(angle) * i
will have absolute value 10.
ie. choose 8 random angles, plug them in, and that's your complex number of abs 10.