Parabolas y=3x2 and y=−3x2+k intersect at points m and n that are in the first and the second quadrants respectively. find k if length of the segment mn is 6.

Step-by-step explanation:

Find the coordinates of points M and N in terms of k. Solve the system of two equations:

Two points have the coordinates and

Find the distance between M and N:

Since MN = 6, you have

answer;

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