SOLUTION: The equation of the parabloa C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0. Find the coordinates of the points of intersection of C and l algebraically.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The equation of the parabloa C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0. Find the coordinates of the points of intersection of C and l algebraically.      Log On


   

Question 873239: The equation of the parabloa C is y = -2x^2 + 5x.The equation of the line l is y - 4x + 1 = 0.
Find the coordinates of the points of intersection of C and l algebraically.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+-2x%5E2+%2B+5x
y=+4x+-+1
So,
-2x%5E2+%2B+5x=4x+-+1
2x%5E2-x-1=0
%28x-1%29%282x%2B1%29=0
Two solutions:
x-1=0
x=1
Then,
y=4%281%29-1=3
and
2x%2B1=0
2x=-1
x=-1%2F2
Then,
y=4%28-1%2F2%29-1=-2-1=-3
(1,3) and (-1/2,-3)
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