Question

quadratic polynomial ax^+bx+c then find α^+β^

Answer 1

using theory of equation

α+β= -b/a

αβ = c/a

now

(α+β)^2 = α^2 + β^2 + 2αβ

α^2 + β^2 = (α+β)^2 - 2αβ

α^2 + β^2 = (b/a)^2 - 2c/a