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Are curves tangent too? (Revised)

Calculus Level 2

Find the parabola ecuation such that is targent to \(x^{2} + y^{2} = 25\) in its intersection points with \(x = 3\)

\[y^{2} = 6(\frac{17}{3} - x)\] \[y^{2} = 5(\frac{17}{3} - x)\] \[y^{2} = 36(\frac{17}{3} - x)\] \[y^{2} = 25(\frac{17}{3} - x)\]

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by Hjalmar Orellana Soto

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