The quadratic x^2 +5x + c has roots in the form of x = (-5 +/- sqrt(2c + 3))/2. What is the value of c?
Set the discriminant = 2c + 3
We have
5^2 - 4c = 2c + 3
25 - 3 = 6c
22= 6c
22 / 6 = c = 11 / 3