olymmath

HMMT 2007 K6

  • Calculus
  • Answer

The elliptic curve y2=x3+1y^{2}=x^{3}+1 is tangent to a circle centered at (4,0)(4,0) at the point (x0,y0)\left(x_{0}, y_{0}\right). Determine the sum of all possible values of x0x_{0}.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{1}{3}

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