If α, β are roots of the equation 2x^2 - 4x + 5 = 0, then α^2β + αβ^2 = ____?

If α, β are roots of the equation 2x^2 - 4x + 5 = 0, then α^2β + αβ^2 = ____?

Explanation

Using Vieta's formulas, we know that α + β = 4/2 = 2 and αβ = 5/2.

Now, α^2β + αβ^2 = αβ(α + β) = (5/2)(2) = 5.