Rithvik's Blog 11+

The graph of the equation y = 2x^2 + 3x - 5 is a parabola. Determine the vertex (h, k) of the parabola

The quadratic equation x^2 - 5x + k = 0 has roots p and q. Given that, p + q = 7 and pq = 10, find the value of k.