Hi, if a quadratic equation is of the form:

x^2+sqrt(p)*x+q=0 where p can be any value in range [0,a] and q in the range [-b,b] then what is the probabillty that at least one root of the equation is real?

E.g:

if a = 4 and b = 2 ,then

probability is 0.625 and for a = 1 and b =2

probability = 0.53125

Thanks.