Question

If sum of the zeroes of f(x) = px^2 + 5x + 8p is equal to the product of the zeroes then find the value of p

Answer 1

$\alpha + \beta = \alpha \beta \\ \frac{ - 5}{p} = \frac{8p}{p} \\ 8p = - 5 \\ p = \frac{ - 5}{8} = - 0.625$