I'll just start out by showing the equation.
I had a similar problem. I'll show how I worked that one out so that you can see my train of thought on this one.
Multiply both sides by
Now it's a quadratic. Solving for
I'll save both of us some time by not showing the quadratic equation steps.
So, I now have:
Now, I take the log of both sides:
So,
Now, back to the problem at hand.
I multiplied both sides of the original equation by to get:
I then multiplied both sides by to get:
I then bring everything to one side:
But, I can't see how this is quadratic. Either I screwed up before this point (the most likely scenario), or I'm just not seeing the quadratic.
Please help. Thanks.
Good point. So, there's something else to this problem then.
The example I showed on my first post was done in class. He said to make sure we paid attention to it. Then, he gives us homework, and while similar, it's nothing we've done before.
I'm still thinking that I need to make it a quadratic and solve it that way. Otherwise, why would he waste his time in class showing it to us?
Any tips? Also, don't rely on my math. Make sure you go by the original formula.
Thanks.
You seem to have had a sign change on the right hand side! When multiplying through by the denominator it looks like you changed your on the right to
You carried forward the error but used the correct working (and some examiners will award you the method marks for this)
Still no quadratic though
@ e^(i*pi) - That sign change was a typo on this post only. I have that correct on my hardcopy. I appreciate the help. What was getting me was pulling the out. That and not using the quadratic. Thanks again for the help.
@ skeeter - I'm assuming your last step was a typo? It should look like e^(i*pi)'s last step, correct? Not the square root like you showed? Thanks.