Given 2x2 + 11x + 9 = 0, we have a=2, b=11, $

To find the value of $\beta(\beta^2 + \alpha^2)$, where $\alpha$ and $\beta$ are the roots of the quadratic equation $2x^2 + 11x + 9 = 0$, we will follow these steps:

Step 1: Identify the coefficients and find the sum and product of the roots.
For a quadratic equation $ax^2 + bx + c = 0$, the sum of the roots is $\alpha + \beta = -\frac{b}{a}$ and the product of the roots is $\alpha \beta = \frac{c}{a}$.
Given $2x^2 + 11x + 9 = 0$, we have $a=2$, $b=11$, $