prices of a commodity of two different regions is given .in region one it is :30,32,29,32,33 and in region two it is 28,22,20,30,25 . compare the consistency of the prices in two regions​

Given that,

α,β  are the zeroes of the polynomial  p(x)=2x2−7x+3

Sum of zeroes (α+β)=a−b=2−(−7)=27

Product of zeroes αβ=ac=23

∴α2+β2=(α+β)2−2αβ

                    =(27)2−2(23)

                    =449−412

                    =437