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Omni-MATH / An equilateral triangle lies in the Cartesian plane such that the…

Problem

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problem

An equilateral triangle lies in the Cartesian plane such that the xx-coordinates of its vertices are pairwise distinct and all satisfy the equation x3−9x2+10x+5=0x^{3}-9 x^{2}+10 x+5=0. Compute the side length of the triangle.
Plain-text mathematical notation (without MathML)
An equilateral triangle lies in the Cartesian plane such that the x-coordinates of its vertices are pairwise distinct and all satisfy the equation x³−9x²+10x+5=0. Compute the side length of the triangle.
Original LaTeX notation
An equilateral triangle lies in the Cartesian plane such that the $x$-coordinates of its vertices are pairwise distinct and all satisfy the equation $x^{3}-9 x^{2}+10 x+5=0$. Compute the side length of the triangle.

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Source and history

task_id
409bafeb-2731-55de-bc92-8b3fdae53488
task_key
test--409bafeb-2731-55de-bc92-8b3fdae53488
task_revision_id
1
config / split
/ test

Official source

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