(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a point on the parabola y = x^2 whose distance from (18,0) is 4*sqrt(17)

2. Relevant equations

I'm guessing I need to use the distance formula, but I'm not entirely sure.

D = sqrt( (x2 - x1)^2 + (y2 - y1)^2)

3. The attempt at a solution

Well I really don't think I'm doing this right. I tried substituting the given point and distance into the equation, but I'm not really sure where to go from there.

4*sqrt(17) = sqrt( (18 - x)^2 + (0 - y)^2)

272 = y^2 + x^2 - 36x + 324

y^2 = -(x-18)^2 + 272

I'm not really sure what to do. Any help would be greatly appreciated.

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# Homework Help: Find a point on the parabola with given point and distance

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