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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.

 Jan 3, 2022
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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

 Jan 3, 2022
edited by ElectricPavlov  Jan 3, 2022

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