# Stuck with this Question based on/related to Vieta's Relations.

## How is my attempt?

• ### Very bad, Too many mistakes/ Major Conceptual mistakes

Results are only viewable after voting.

#### Toshu

If p , q, r are the roots of $$\displaystyle x^3-6x^2+3x+1=0,$$
determine the possible values of $$\displaystyle p^2q+q^2r+r^2p.$$
Also find $$\displaystyle |(p-q)(q-r)(r-p)|.$$

I have attached the pictures of my attempt.

I need 1 more equation of the terms to find the solution.

Answer :– -3, 24

#### Idea

$$\displaystyle (y-x)^2$$ is a symmetric expression (it is the discriminant of the polynomial)

therefore it can be expressed in terms of elementary symmetric polynomials.

Its value is $$\displaystyle 729$$, so $$\displaystyle |y-x|=27$$

Similar threads