The following appeared in The Seattle Times [reformatted for the message board]:
- Write (1 - 3i) ÷ (-2 - 4i) in the form a + bi.
Simple algebra, I know. But it’s been a while. I haven’t worked on it, but at a glance I see that a 2 can be factored out of the denominator. I could multiply either the numerator or the denominator by its compliment, creating a perfect square. I’m otherwise occupied at the moment and don’t have the time to play with it right now, so I thought I’d post here to A) see if I’m on the right track; and B) to let others join in the fun.
The answer is:
1/2 + (1/2)i
There are two other questions. The first one is solvable at a glance. The second (which is the third question) I haven’t tried yet.
- Solve for x: 8[sup]x[/sup] = 32
As I said, it’s solvable at a glance: 5/3
- The graph of the equation y = 3[sup]x[/sup] is reflected over the y-axis. What is the equation of the image?
y = (1/3)[sup]x[/sup]