The answer will in negative. Check this calculator it might help http://quadraticformulacalculator.localhost/quadratic-equation-solver/
The discriminant for a quadratic is the part of the quadratic formula that is under the square root.
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(b^2-4ac\) is the formula for discriminant.
In your quadratic, a=1, b=11 and c=36. Plug these numbers in.
\(11^2-4(1)(36)=-23\)
If the discriminant is negative, the quadratic will have 2 non real solitions. It it is positive, there will be 2 real solitutions. If it is 0 there will be 1 real solitution.
The discriminant is negative so your quadratic will have 2 non real solitutions.