List of top Mathematics Questions on Quadratic Equations asked in UPSEE

Let $x^2 + \alpha x + \beta = 0$ the equation whose roots are the negatives of the roots of $x^2 + 7x - 2 = 0$ then the value of $\alpha + \beta$ is

If the roots of $4k^2 - (5k + 1)x + 5k = 0$ differ by unity then the sum of all possible values of k is