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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 - y^2 + 9y - 11 at exactly one point. What is k?

 Oct 29, 2022
 #1
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k = 15/7

 Oct 30, 2022
 #2
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Try simplifying the original equation.

 

Then find the vertex because that is the only way to intersect at only 1 point.

 

the vertex is (-3, 1). So k=-3

 Oct 30, 2022

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