Help with polynomials please

Question

anonymous · Answer

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.

kainui · Answer

Is linear algebra allowed?

anonymous · Answer

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

kainui · Answer

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?

anonymous · Answer

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

campbell_st · Answer

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

anonymous · Answer

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