SOLUTION: What is the maximum value of c such that the graph of the parabola (x^2)/3 has at most one point of intersection with the line x+c?

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Question 883849: What is the maximum value of c such that the graph of the parabola (x^2)/3 has at most one point of intersection with the line x+c?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%5E2%2F3
y=x%2Bc
x%5E2%2F3=x%2Bc
x%5E2%2F3-x-c=0
x%5E2-3x-3c=0
One real root, the discriminant must equal zero.
b%5E2-4ac=0
%28-3%29%5E2-4%281%29%28-3c%29=0
9%2B12c=0
12c=-9
c=-3%2F4
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