Question

The value of 'a' for which ax² + x + a = 0 has equal and positive roots is :

Find the value(s) of 'k' so that the quadratic equation 4x² + kx + 1 = 0 has real and equal roots.

If 'α' and 'β', are the zeroes of the polynomial p(y) = y² − 5y + 3, then find the value of α⁴β³ + α³β⁴.

If the roots of the equation ax² + bx + c are real and equal, what will be the relation between a, b, c?