SOLUTION: Find the values of x where the line y = -2x + 20 intersects the parabola y = 2x^2 + 3x - 22

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Question 1042659: Find the values of x where the line y = -2x + 20 intersects the parabola y = 2x^2 + 3x - 22

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Set the equations equal to each other.
-2x%2B20=2x%5E2%2B3x-22
2x%5E2%2B5x-42=0
%28x%2B6%29%282x-7%29=0
Two solutions:
x%2B6=0
x=-6
and
2x-7=0
2x=7
x=7%2F2
To find the corresponding x value, use either equation,
y=-2%28-6%29%2B20
I leave it to you to complete the solution.
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