The quadratic x^2 +5x + c has roots in the form of x = (-5 +/- sqrt(2c + 3))/2. What is the value of c?
\(ax^2+bx+c = x^2 +5x + c\) so what do you know so far.
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a} = {-5 \pm \sqrt{2c+3} \over 2}\)
Do some substitutions and finish it.