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The parabolas defined by the equations y = -x^2 - x + 1 and y = x^2 - 3x - 3 intersect at points (a,b) and (c,d), where c >= a. What is c - a? Express your answer as a common fraction.

 Feb 26, 2022
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Note that   c  and  a   are the 'x' coordinates....

  All you need to do is equate the two given parabolic equations, simplify and then use the Quadratic Formula to solve for the x's  ( c and a )

 

-x^2 - x + 1     =     x^2 - 3x - 3    <====== take it away !

 Feb 26, 2022

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