05. Quadratic Equations question bank (Maths)

If the roots of the equation \( x^2 - 5x + 16 = 0 \) are \( \alpha, \beta \) and the roots of the equation  
\( x^2 + px + q = 0 \) are \( \alpha^2 + \beta^2 \) and \( \dfrac{\alpha\beta}{2} \), then –

If the roots of the equation \( x^2 + px + q = 0 \) are 8 and 2 and the roots of \( x^2 + rx + s = 0 \) are 3 and 3, then roots of \( x^2 + px + s = 0 \) are