Two Parabolas Common Point

2050SpecialistCoordinate GeometryAlgebra

AIME I · 2014 · Problem 6

The graphs $y = 3(x-h)^2 + j$ and $y = 2(x-h)^2 + k$ have y-intercepts of $2013$ and $2014$, respectively, and each graph has two positive integer x-intercepts. Find $h$.

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Two Parabolas Common Point

2050SpecialistCoordinate GeometryAlgebra

AIME I · 2014 · Problem 6

The graphs $y = 3(x-h)^2 + j$ and $y = 2(x-h)^2 + k$ have y-intercepts of $2013$ and $2014$, respectively, and each graph has two positive integer x-intercepts. Find $h$.

0 students attempted0% solvedRating 2050