SOLUTION: In the xy-plane, the parabola with equation y = –(x + 3)2 intersects the line with equation y = 4x at two points, P and Q. What is the length of PQ?

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Question 1038074: In the xy-plane, the parabola with equation y = –(x + 3)2 intersects the line with equation y = 4x at two points, P and Q. What is the length of PQ?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
EQUATE THE EXPRESSIONS FOR y
SOLVE FOR x
FIND CORRESPONDING y VALUES
USE DISTANCE FORMULA TO FIND LENGTH PQ


START OF THE STEPS
-%28x%2B3%29%5E2=4x
-%28x%5E2%2B6x%2B9%29-4x=0
-x%5E2-6x-4x-9=0
x%5E2%2B10x%2B9=0
%28x%2B1%29%28x%2B9%29=0
system%28x=-1%2Cor%2Cx=-9%29

Continue with the outlined plan...