olymmath

HMMT 1998 K8

  • Calculus
  • Answer

Find the slopes of all lines passing through the origin and tangent to the curve y2=x3+39x−35y^{2}=x^{3}+39 x-35.

Dataset text NuminaMath olympiads. Quoted with source.

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m= \pm \frac{\sqrt{51}}{2}, \pm \frac{\sqrt{285}}{5}

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