Question

22. If α and β are the zeroes of the polynomial p(x) = 2 2 − 7 + 3 . Find the values of ∝ 3+ 3​

Answer 1

Answer:

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