SOLUTION: Determine the length of the line segment formed by the points of intersection for the system y = 2x^2 − 5x − 6 and y = 3x+ 4. (Leave your answer in simplified radical form)

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Question 1177943: Determine the length of the line segment formed by the points of intersection for the system
y = 2x^2 − 5x − 6 and y = 3x+ 4. (Leave your answer in simplified radical form)

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
...........eq.1
........................eq.2
---------------------------------------
...........eq.1...........substitute from eq.2


.......factor
.........factor

so, solutions are and
then


points of intersection: (,) and (,)
the length is equal to distance between (,) and (,)
use distance formula




=>the length of the line segment formed by the points of intersection for the system


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