Question

Help with polynomials please

Answer 1

If alpha and beta are the roots of the equation x^2+mx+n = 0, find the roots of nx^2 + (2n-m^2)x+n = 0 in terms of alpha and beta.

Answer 2

Is linear algebra allowed?

Answer 3

i havent heard of it so probably not....but try it anyway

Answer 4

No, better not, it will only make it worse on you. lol So first off, what do you think you need to do to find the answer?

Answer 5

uh....find the product and sum of the roots

Answer 6

well if the roots are alpha and beta then

your polynomial

\[(x - \alpha)(x - \beta) = 0\]

distribute and then compare it with

\[x^2 +mx + n =0\]

when you will be able to express m and n in terms of alpha and beta.

when you know that substitute them into the 2nd quadratic