SOLUTION: Find the distance between the points of intersection of the graphs of y = 2x2 – 4x+ 1 and 2x - y = - 21.

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Question 1073402: Find the distance between the points of intersection of the graphs of y = 2x2 – 4x+ 1 and 2x - y = - 21.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2-4x%2B1=2x%2B21 will give the x coordinates of the intersection points.
%28x%2B2%29%28x-5%29=0
x coordiantes -2 and 5.

y=2x%2B21
If x is -2, then point (-2,17)
If x is 5, then point (5,31).


DISTANCE BETWEEN (-2,17) and (5,31):
sqrt%28%285-%28-2%29%29%5E2%2B%2831-17%29%5E2%29------evaluate this.
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sqrt%2849%2B14%5E2%29
sqrt%2849%2B196%29
sqrt%28245%29
7sqrt%285%29