(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The equation

x3 − 3x2 + px + 4 = 0,

where p is a constant, has roots α −β , α and α + β , where β > 0.

(a) Find the values of α and β .

(b) Find the value of p.

how do i start off? all i know is that sigma a= -b/a and ab= c/a and ab(gamma) = -d/a .

Would this be one of the ways to do it: [x-(a-β)] [x-(a+β)] (x-a).

Thanks.

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Cubic equation roots.

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