2x2-5x+11=0

Online "^" is used to indicate exponents, e.g., x^2 = x squared.

2x^2-5x+11=0

Typically, to factor, find two factors for each of the end values and get them to add to the middle value. Since both end terms are prime, I do not see a solution to this problem. If it was

2x^2-9x+11=0

(2x-11)(x-1) = 0

Do you have a typo?