1.
Let α,βR\alpha, \beta \in \mathbb{R} be such that the equation ax22bx+15=0ax^2 - 2bx + 15 = 0 has a repeated root α\alpha, and if α\alpha and β\beta are the roots of the equation x22bx+21=0x^2 - 2bx + 21 = 0, then α2+β2\alpha^2 + \beta^2 is equal to: