YAMT: Round 2

[AStar617]

Can someone give me a start on how to go about approaching a problem like:

Find all real numbers x and y such that 2x+1+3yi = x + 5i

Don't need the answer, just the overall concept, or first step so I can tackle it...

Thx

 

[zanieladie]

I'm bookmarking this for later. It's 2:30 in the morning here and I'm approaching being brain dead.

 

[AStar617]

I'm east coast too. Assignment will be handed in by the time "later" rolls around, most likely 😛

 

[AStar617]

Here's what I have so far...

I'm thinking that the y term needs to be alone on one side of the equation... so in this example:

2x+1+3yi = x + 5i

3yi = x + 5i - 2x - 1

3yi = -x + 5i - 1

y = (-x +5i - 1) / 3i

...and this is where it falls apart. I just feel like I'm freewheeling down the wrong path, or should have it in some other form... 😕

 

[Brainonska511]

Wouldn't you want to make y = 0 so you can find the roots of the equation? (almost 3 here, so don't hold me accountable if it doesn't work)

 

[AStar617]

What i needed to do is set the real and imaginary portions equal to each other, then solve for x and y accordingly.

Yay me 🙂