Solve x^2 - x = 2 using the quadratic formula. Show your work.

The quadratic formula is the result of completing the square for ax^2+bx+c=0 when a, b, and c are unknown values. This result is:

x = (-b±√ (b^2-4ac)) / (2a), we have x^2-x-2=0 so

x = (1±√ (1+8)) / 2

x = (1±√9) / 2

x = (1±3) / 2

x=-1 and 2