Elliptic Curve y²=x³+1 Tangent

2175ExpertCoordinate GeometryAlgebraGeometry

Harvard-MIT Mathematics Tournament

The elliptic curve $y^{2}=x^{3}+1$ is tangent to a circle centered at $(4,0)$ at the point $(x_{0}, y_{0})$. Determine the sum of all possible values of $x_{0}$.

0 students attempted0% solvedRating 2175

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Elliptic Curve y²=x³+1 Tangent

2175ExpertCoordinate GeometryAlgebraGeometry

Harvard-MIT Mathematics Tournament

The elliptic curve $y^{2}=x^{3}+1$ is tangent to a circle centered at $(4,0)$ at the point $(x_{0}, y_{0})$. Determine the sum of all possible values of $x_{0}$.

0 students attempted0% solvedRating 2175