Hello,

Please help me through this problem:

(1) Set to find the equation whose roots are and

Thank you.

Printable View

- June 9th 2010, 09:12 AMdynamicsagarRoots of the equation
Hello,

Please help me through this problem:

(1) Set to find the equation whose roots are and

Thank you. - June 9th 2010, 09:28 AMundefined
- June 9th 2010, 11:22 AMdynamicsagarThe remainder of the question
Hello,

Sorry; I forgot to type the first half of the question.

(1) Let and be the roots of the equation . The rest of the question goes as written in the first post.

Sagar - June 10th 2010, 12:31 PMundefined
Have you worked this out yet? I'm still not sure what to make of the problem. The word "the" marked in red above can't be right, because there are an infinite number of functions that have those roots.

There's a straightforward albeit messy way to express a new polynomial with those roots in terms of just a,b,c. The function I wrote above in terms of alpha and beta is symmetric in alpha and beta. Without loss of generality, let and let . Substitute in and you have your equation. (Choice of is arbitrary; for simplicity, you can let .)

I still don't know what setting is supposed to accomplish, but maybe I could figure it out by looking at an example in your book. Possibly it's something obvious that I'm just not seeing. If you have the intended solution and wish to post it, I'd be curious to see.