The parabolas defined by the equations y = -x^2 - x + 1 and y = 2x^2 - 3x intersect at points (a,b) and (c,d), where c >= a. What is c - a? Express your answer as a common fraction.
Since we are only looking for the x coordiantes, equate the two parabolas
-x^2 -x + 1 = 2x^2 - 3x
3x^2 -2x - 1 = 0 Quadratic Formula shows c and a are 1 and -1/3 <====== you can finish